• Aucun résultat trouvé

Special Spinors and Contact Geometry

N/A
N/A
Protected

Academic year: 2021

Partager "Special Spinors and Contact Geometry"

Copied!
12
0
0

Texte intégral

(1)

HAL Id: hal-00126089

https://hal.archives-ouvertes.fr/hal-00126089

Submitted on 23 Jan 2007

HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

Special Spinors and Contact Geometry

Andrei Moroianu

To cite this version:

Andrei Moroianu. Special Spinors and Contact Geometry. Quaternionic structures in mathematics and physics, 1999, Rome, Italy. pp.273-284. �hal-00126089�

(2)

')(&*+-,/."0213+-14.657(98

: ;

&&<=&

>=?A@BDCFEHGDIKJL?ACNMOPGDJL@=CNMQJRGSGUTPJLVNCFOA@WMRGUE@OA@YX[ZR@M\TAVNJRM]GD^PJ_BDCNOA@`aCNObYGUOcJ_BDbdJeU@GUE@YJRZ\f

^gfhE@BDOAMiGDI&M\jACFOAGDZRCkBlVmE@YJR?AGn`AM"BDOP`CFOhjoBDZ\JRCFbYTAVkBDZJLGp@dq/?ACN^ACNJ$MRGUE@rCNOcJL@Z\@MsJLCFOPeZR@YVkBlJRCFGUOAM

^t@dJuXW@Y@OwvxbGUEjAVN@dqAyWbGUOcJLBDbYJiM\JRZRTAbdJLTAZ\@MiBDOA`v{z|BD?AVN@ZRCFBDO}yzSCNVFVNCFOAerMRjACNOAGUZRMY~

€?PCFVF@&JR?A@]OPGDJLCNGUOrGlIoBibYGUOcJ_BDbdJMsJLZ\TAbYJRTAZR@]CFM‚XW@YVFV„ƒ†…gOAG‡XOrJLGEGUM\Jm`AC„ˆ7@YZR@OcJRCkBDVceU@YGUE@YJL@YZRMY‰

JL?oBlJrGDIŠB)zCFVNVFCFOPeMRjACNOAGUZ‹vxJR?AGUTAeU?ŒCFOcJL@YOAMRC„U@YVNfŽM\JRTA`ACN@`^cfjA?cfnMRCNbCFMsJLMrTAOA`A@YZrJL?P@‹OoBDE@aGDI

MRTAjK@ZƒuM\fnEEp@dJLZsfAy3Z\@EpBDCFOA@Y`3‰-IxGUZ‚B‘gTAC„JL@QVFGDOAe=JLCFE@D‰‡OP@eUVN@bYJR@`r^gfSEpBlJR?A@EpBlJLCNbCFBDOAM~‚zCNVFVFCNOAe

MRjACNOAGUZRMbBDE@JLG’^K@“M\JRTA`ACF@Y`ŒGDOAVNf)BlI”JL@YZ–•‡—U˜D™P‰7X?A@YOŒ>=?3~–š}Z\CF@Y`AZRCNb_?œ›ž Ÿ&jAZRG‡D@`ŽJL?oBlJJR?A@Yf

BDZRCNMR@’BDMrJL?A@@YCFeU@YOAMRjPCFOAGUZ\M–bGDZRZR@YMRjKGUOA`ACNOAeJLG)JR?A@’VF@BDM\J–jtGUM\MRCN^AVF@p@CFeD@OclBDVFTA@‹GDIJL?A@’¡"CNZLBDb

GUjt@YZLBlJRGUZGUO‹bYGUEpjABDbYJWMRjACNO‹EpBDOACNIxGDVF`AM&XCNJR?‹jKGUMRC„JLC„U@MRbBlVkBDZbTAZslBlJLTAZ\@D~¢hGDZR@$jPZR@bYCFM\@VNfD‰/X]@

?oBU@SJL?A@

£¤‚¥n¦}§-¥n¨ ©Kªx© v«š}Z\CF@Y`AZRCNb_?3‰t•—U˜U™cy=¬$­o®¯°„±c¯­o²-³U´¶µP¯·w¸\¹"º”»P¯¼S°”½s³g¾¿¸dÀP¯½\³Uº6¸D½¸D­)³¾_¸DÁ$À/³g¾º

Â

ÀK°”­Áa³U­o°¹Y¸D´ÄÖÅÇÆ)È&°”ºx»“ÀP¸

Â

°”º«°”² ¯

Â

¾L³U´Ä³U½¿¾µn½É²-³Uº{µn½\¯¿Ê

Â

³Uº«°

ÂxË

¯ Â

º”»P¯°”­K¯L̵P³U´¶°”º«®

·oÍiÎ Ï

Ð v

ϒÑ

•-y CFO/I

Ò

ÊÓ vs•-y

Ô¸D½\¯_¸D² ¯½_Õ$°¹º”»P¯Ö¯L̵/³U´¶°”º«®Ö»P¸D´ÄÃ

Â

Õiºx»P¯­×¯² ¯½É®¯°„±c¯­

Â

ÀK°”­K¸D½ØÙ¾_¸D½d½\¯

Â

ÀP¸D­}ÃU°”­n±hº6¸·Ç°

 ³

½R¯L³U´KÚ¿°”´”´¶°”­n±

Â

ÀK°”­K¸D½_Õ&°«Û”¯‡Û

Â

³Uº{°

ÂxË

¯ Â

ºx»P¯“¯L̵/³Uº{°«¸D­

ÜaÝW؜Þ2ßmàá‡Øiâ ãtà äå$Å v«ßŽÞ

Ñ ·

Ï

ydÓ v6æUy

ç I”JL@YZ=MR@dU@ZRBDVmM\JL@YjAMXW@YZR@¿E‹BD`P@"JLG‡XŠBlZR`AM=JL?P@CFZ=bYVkBDM\MRC„èobBlJRCFGUO’^cfÖé¿~}êŠBDTAE։A>=?3~šoZRCN@`AZ\CFb_?3‰

ë¿~QìZRTPOA@YXWBDVF`íBDOP`íî_~z¿B JL?ïvxJR?A@M\@hBlZR@’jAZ\@MR@YOcJL@`[CFOœBTAOAC„èo@`œEpBDOAOA@YZ“CFOǛžæ Ÿ”yɉWzCNVFVFCNOAe

MRjACNOAGUZRM“v«GUZY‰4jAZRGUjK@Z\VNfhMRjK@BD…gCNOAeA‰4EpBDOACNIxGDVF`AMbBDZ\Z\fnCFOPeJL?A@YEyX]@Z\@“èoOoBDVNVNfÖbVFBDMRM\CNèo@Y`^cfð$~

ê|BDZŒ›Ä•YŸ6‰$X?PG[EpBD`A@BœD@Zsfï@YVF@YecBDOcJÖTAMR@GDIJR?A@MRGlƒ†bBDVNVF@`€bYGUOA@bGUOAMsJLZ\TAbYJRCFGUO3~>=?ACFMCNM

X?A@Z\@hbYGUOcJ_BDbdJpMsJLZ\TAbYJRTAZR@YMpbYGUEp@CNOgJRGJL?A@jAVFB‡fD‰]M\CFOAbY@Öê|BDZ“MR?PG-XMJL?oB J‰QXCNJL?œM\GUEp@VNG-XŠƒ

`ACFE@OAM\CFGUOABDVŠ@dq/bY@jPJRCFGUOAMY‰BDVFV=M\CFEjAVNfñbGUOAOP@bYJR@`òEpBDOAC„IxGUVF`PM“bBDZ\Z\fnCFOAezCFVFVNCFOAe)MRjACNOAGUZRMpBDZ\@

bGUOcJ_BlbYJ–EpBDOAC„IxGUVF`PMv«GUZSZRGDTAOA`ñM\jA?A@Z\@MY‰&CFO@YU@YOw`ACFE@OPMRCFGDOAM_yÉ~Ö¢hGUZR@pjAZR@YbCNMR@V„fU‰9CNIÅ

͆óô}õ

v«öø÷€cyŠbBDZRZ\CF@MizCFVNVFCFOPeMRjPCFOAGUZ\M‰oJL?P@OÅ CFM@C„JL?A@YZùQCNOAM\JR@CNO/ƒsúPBlMLBD…gCkBlOhGUZ ƒúPBDMRBD…gCkBDOŒvxIxGDZ

JL?A@S`A@dèoOACNJRCFGUOPM=MR@@‹›¶•YŸ4IxGUZ=@ÉqABlEpjAVN@‡yÉ~

ûMRCNOAe‹JL?P@@dq/jAVNCFbYCNJiZR@VFBlJLCNGUOAM^K@YJuX]@@OŒúPBlMLBD…gCkBlOM\JRZRTAbdJLTAZ\@MBDOP`zCFVFVNCFOAeaM\jACFOAGDZRM$eDCNU@YO

^gf)>=?3~SšoZRCN@`AZ\CFb_?BDOP`î_~3zSBlJL?훞栟{‰tX]@“ecBU@aB`A@YMRbYZRCFj/JLCFGDOCFOœ›¶•U•ŸGDI&JL?P@–MRjAVNCNJ\JLCFOPe‹GDI&JR?A@

BDVFeU@Y^AZLBrGDICNOPèoOAC„JL@YMRCFEpBDV}CFM\GUE@YJLZ\CF@YMŠGDI9ù&CFOAMsJL@CNO/ƒsú/BDMLBD…gCFBDO’BDOA`֝ ƒúPBDMRBD…gCkBDO’EpBDOAC„IxGUVF`AMY‰PBlOA`

IxTAZ\JR?A@Z\EpGUZ\@jAZRG‡D@`hJR?A@IxGUVFVNG‡XCFOAe–Z\CFeUCN`ACNJufZ\@MRTPVNJü

(3)

£r¤m¥g¦}§-¥/¨ ©}ª »P¯‹¸D­o´¶®

Â

°”Á$ÀK´¶®Ö¾_¸D­o­K¯_¾º6¯LÃK³

Â

³ °x³U­ŽÁa³U­o°¹Y¸D´ÄÃhv6Ňâ Kâ !#"Fy$ÀP¸

Â_Â

¯

Â_Â

°”­n±

³U­w°”­

Ë

­o°”º6¯

Â

°”Áa³U´°

Â

¸DÁ¯º«½d®)¸\¹aµn­o°”º$´„¯­n±Dº”»gÕ"¸Dº”»P¯½ºx»/³U­wº”»P¯$K³

Â

³ °x³U­ñ² ¯_¾º6¸D½

Ë

¯´ÄÃ

Â

Õ°

Â

º”»P¯

µn­o°”º

Â

Ào»P¯½\¯"Ê%‡Û

&4@YJTAMOAG‡XïJLTAZ\OhGUTPZBlJRJR@OcJLCNGUO’JLG“JL?A@SbYGUEpjPVF@dq’bBDM\@D‰}BDOA`ÖZR@YbBDVNV7JL?P@SIxGDVFVFG‡XCNOAe

' ¥(*),+-+«¦.)Ç©Kªx© vxbYI~‹›0/ Ÿky213¯ºWÅ

͆ó43

¯³¾_¸DÁ$ÀK´„¯65Áa³U­o°¹Y¸D´ÄÃ)¸\¹“¾_¸DÁ$ÀK´„¯65hÃU°”Á¯­

Â

°«¸D­Öö!Þ

æ87:9w•gۊ¬ ¾_¸DÁ$ÀK´„¯65¾_¸D­oº{³g¾º

Â

º«½dµP¾º«µ/½\¯ °Â

³=¹d³UÁ“°”´¶®<;Þ>=/v@?,"†âBA,"xyDC

Â

³Uº«°

Â

¹É® °”­n±aº”»P¯&¹Y¸D´”´„¸DÈ&°”­n±

¾_¸D­}ÃU°”º«°«¸D­

ÂFE

v«CkyG=8?,"HC°

Â

³U­¸dÀP¯­Ž¾_¸D² ¯½É°”­n±¸\¹Å Û

vxCFC”yIA,"]°

Â

³p»P¸D´„¸DÁ¸D½†Ào»n°«¾JK¹Y¸D½ÉÁ ¸D­?,"sÛ

v«CFCNC”yLA,"NMŒvHOPA,"«yRQäTSvVU

óXWY Å2yr°

Â

­K¸D­²-³U­o°

Â

»n°”­n±p³UºW¯² ¯½É®SÀP¸D°”­oº]¸\¹Z?,"Û

v«C„Py[A,"tÞ]\^"`_ Aa_°”­?,"PbT?a_‡ÕQȁ»P¯½\¯Z\"`_“°

Â

³p»P¸D´„¸DÁ¸D½†Ào»n°«¾Q¹Éµn­K¾º«°«¸D­Ž¸D­c?,"dbe?a_ Ó

f

TAZE‹BDCNO×Z\@M\TAVNJpXCFVFV=^K@hJR?A@)bYVkBDM\MRC„èobBlJRCFGUOíGDISBlVFVz|BD?AVF@YZsƒuùQCNOAM\JR@CNO×EpBDOAC„IxGUVF`AM“GlI

jKGUMRC„JLC„U@M\bBDVFBDZbYTAZ\lBlJRTAZR@BD`PEpC„JRJLCNOAeBbYGUEjAVF@ÉqñbYGUOcJ_BDbdJaM\JLZ\TAbYJRTAZR@l~>=?ACNM“eUGn@M–Z\GUTAeU?AV„f

BDMaIxGUVNVFG‡XMüÖèoZRMsJ‹GDIBDVFV{‰]C„ISÅhgiQ

ôAÍ

CNMBz|BD?AVN@ZE‹BDOPCNIxGUVN`œBD`AECNJRJRCFOAeŽBbGUEjAVN@dqíbGDOgJLBDbYJ

MsJLZRTPbYJLTPZR@D‰JL?P@O XW@)bGUOAMsJLZ\TAbYJ’IxGUZj7[G/`P`€BbBDOPGUOACFbBDVMRjACNOAGUZGUO Å BlOA`òIxGUZk7[@dU@YOïB

bBDOAGUOACNbBDVQM\@bYJRCFGUOŒGDIŠJR?A@‹M\jACFOAGDZr^ATPOA`AVF@pBDM\MRGnbCkB JL@`JLG)BhMRTPCNJ_Bl^AVF@‹ú/jACNOdl"M\JRZRTAbdJLTAZ\@‹GDIÅ

v”JL?ACNM“CF`A@BƒSIxGUZ$7wG/`P`œƒ¿MsJL@EMaIxZRGUE z“~ƒ¡–~&zCNZRb_?g^t@YZReBDOA`[ûr~ú/@YEpE@VNE‹BlOAO3‰QMR@Y@ñ›`mlŸkyd~

Œ@)JL?P@O€jAZRG‡D@JL?oBlJ‹JL?A@bYGUOAMsJLZRTPbYJL@Y`€MRjACNOAGUZCNMB×Úon³l»n´„¯½É°x³U­òÚ¿°”´”´¶°”­n±

Â

ÀK°”­K¸D½hv”XW@?oBD@

JRGŒ`A@dèoOA@ÖJL?ACNMOPGDJLCNGUO×CNOwJL?A@)ú/jACNOdlbBDMR@yCNIJL?P@heUC„U@YOòz|BD?AVN@ZaEp@dJLZ\CFb’GUOíJL?A@ÖE‹BlOACNIxGUVN`

Å CFMSBDVNMRGhùQCNOAM\JR@CNO3~p>=?P@pOA@ÉqnJMsJL@jŒCFMJLGÖbGDOAM\JRZRTAbdJ–BbBDOPGUOACFbBDVÊ

õ

^PTAOA`AVN@qp G‡U@ZÅH‰

X?ACNb_?CFM]@OA`PG-X]@`’XC„JL?BëCN@EpBDOAOACFBDOpE@YJRZRCNb$BDOP`’BrM\jACFOMsJLZ\TAbYJRTAZR@l‰AMRTAb_?’JR?oBlJJL?A@Bl^tG‡U@

bYGUOAM\JRZRTAbdJL@Y`òz|BD?AVN@ZRCFBDOwzCFVNVFCNOAe)M\jACFOAGDZ“GUO×Å CNOA`ATAbY@MBŽzSCNVFVNCFOAehMRjACNOAGUZ“GUOrpŒ~œš9CFOoBDVNVNfD‰

TAM\CFOAeê|BDZFsžM–bYVkBDM\MRCNèAbBlJRCFGUOŒGDIMRTAb_?œEpBDOACNIxGDVF`AM¿BDOA`wM\GUE@‹IxTAZ\JR?A@Z–BDVFeU@Y^AZLBlCFbjAZRGUjK@ZsJLCN@MGlI

JR?A@–zCFVNVFCNOAe“MRjACNOAGUZY‰}X]@–bYGUOAbVNTA`A@¿JL?oBlJtp ?oBlMiJLGp^t@ ƒsú/BDMLBD…gCFBDO)BlOA`)IxTAZsJL?A@YZREGUZR@l‰t^cfJL?A@

OoB JLTAZRBDVFC„Juf‹GDImJL?P@¿bYGUOAMsJLZRTPbYJLCNGUOÖGDI*p‰AXW@rBDZ\@SBDVFM\GpBl^AVF@"JRGb_?ABDZLBDbdJL@YZRCFM\@rÅ eU@YGUEp@dJLZ\CFbBlVFVNfD~

u v

*w& &txÖYty p – ez|{a"# $%

Œ@"XCFVNV7èoZ\M\JZR@YbBDVNV3MRGUE@^oBDM\CFbI«BDbdJLMBD^KGUTPJMRjPCFOÖBDOA`)ú/jACNOdl]MsJLZ\TAbYJRTAZR@YM~

ðWGUOAM\CF`A@YZ‚BDOSGUZRCN@OcJL@Y`¿ëCN@EpBDOAOACFBDO"EpBDOACNIxGDVF`“v{ÅÇÆ/â Pyd~,&4@YJ,}~€a

Æ^‚

Å `A@YOAGDJR@JL?A@Q^ATAOP`AVF@

GDI9GUZ\CF@OcJR@`ÖGUZ\JR?AGUOAGUZ\E‹BlVtIxZLBlEp@YM=GUOhÅH~

'

¥(*),+-+«¦.)ƒ4ªx©4

»P¯hÁa³U­o°¹Y¸D´ÄÃÅ °Â

¾L³U´”´„¯LÃ

Â

ÀK°”­ °¹ºx»P¯)º”»P¯½\¯¯65U°

 º Â

³…„†R¹Y¸D´ÄÃñ¾_¸D² ¯½d°”­n±

} ~ˆ‡ "

ÆF‰

Å ¸\¹t} ~€Š

Ƃ

Å È&°”ºx»ÀK½\¸B‹Y¯_¾º{°«¸D­Œ’ü} ~ ‡ "

ƍ‰

Å Ž } ~€a

Ƃ

Å Â

³Uº«°

Â

¹É® °”­n±º”»P¯=¹Y¸D´”´„¸DÈ&°”­n±

¾_¸D­}ÃU°”º«°«¸D­

Â2E

°‘} ~ ‡ "

ƍ‰

Å °Â

³rÀK½d°”­K¾°À/³U´

3

µ/­}ÃA´„¯–¸D² ¯½iÅ È&°”º”»

Â

º«½dµP¾º«µ/½\¯S±D½\¸Dµ-ÀUÀK°”­

(4)

@ H 

°”°”¹Sȯ–Ãg¯­K¸Dº†¯

3

®×ºx»P¯a¾L³U­K¸D­o°«¾L³U´/ÀK½\¸B‹Y¯_¾º«°«¸D­¸\¹ UÀK°”­

Æ

¸D² ¯½$Êv

Ï

yÉÕQº”»P¯­–¹Y¸D½¯² ¯½d®

äT} ~ˆ‡ "

ÆF‰

Å ³U­}Ëä…UÀK°”­

Æ

ȯS»/³U² ¯

ŒAv

/y&ތPv

y9v/ydÓ

>=?A@^ATAOP`AVF@ } ~ ‡ "

ƍ‰

Å CFM“bBDVFVN@`œBMRjPCFOœM\JRZRTAbdJLTAZ\@D~œë@jAZ\@MR@YOcJ_BlJRCFGUOœJL?A@YGUZ\fñMR?AG‡XM

JL?oBlJJL?A@bGDEpjAVN@dq“ðWVFC„ˆ7GUZ\`“BDVNeU@^AZRB! #"\v

Ï

y?oBDMvxTAj“JLGS@‘gTAC„lBDVF@YOAb@y@dqPBDbYJRVNfGUOA@=CFZ\ZR@Y`ATAbCN^AVF@

bGUEjAVF@ÉqpZR@jPZR@M\@OcJ_B JLCFGDO%$

Æ

IxGUZ

Ï

@YD@OÖBDOA`JuX]G“CFZ\ZR@`PTAbCN^AVF@bGUEjAVN@dqpZR@YjAZR@YMR@OcJLBlJLCNGUOAM&$('

Æ

IxGUZ

Ï

G/`A`7~pîuOŽJL?A@VkBlM\JSbBlMR@D‰‚JL?P@MR@aJuX]G)ZR@YjAZR@YMR@YOgJLBlJLCNGUOAMrBDZR@a@Y‘nTPCNlBDVF@YOcJ¿X?P@OZ\@MsJLZRCNbYJR@`

JLGΜ/jACNO

Æ

‰WBDOA`œJL?ACNMaZR@MsJLZ\CFbYJRCFGUOœCNM“`A@OAGlJL@`×^cf)$

Æ

~ך}GDZ

Ï

@dU@YO3‰WJL?P@ZR@ÖCFMBMRjPVFCNJ\JLCNOAeGDI

$=Å XCNJR?×Z\@MRjK@bdJ‹JRGJR?A@)BlbYJLCNGUOœGDI$JR?A@UGUVNTAEp@@YVF@E@OcJpCFO)$

Æ üÞ*$

ô

Æ,+

$&-

Æ

BlOA`×GDOA@

TAMRToBlVFVNfbBDVNVFM“@YVF@E@OcJRMGlI.$

ôÆ

v«ZR@YMRj3~/$&-

Æ

y–jtGDMRCNJRCND@v«ZR@YMRj3~×OA@eUBlJLC„U@‡y–?oBlVNIkƒuM\jACFOPGUZRMY~ךoGUZ

BDZR^AC„JLZRBDZ\f

Ï

‰($

Æ

CFM“bBlVFVF@Y`ñJL?A@bYGUEpjPVF@dqñMRjACNO×Z\@jAZ\@M\@OcJ_BlJRCFGUO7‰ŠBDOA`œC„JLMaBDM\MRGnbCkB JL@`œU@YbYJRGUZ

^ATAOA`AVN@0$=Å CFMSbBlVFVF@Y`JL?A@abGDEpjAVN@dqŽM\jACFOPGUZS^ATAOA`AVN@D~ú/@bdJLCFGDOAMrGlI1$=Å BlZR@abBDVNVF@Y`ŒM\jACFOAGDZRM~

î†I&Å CFM=@dU@Onƒu`ACNEp@YOAMRCNGUOoBDV7X]@S`A@OPGDJL@S^cf%$ ' Å JL?A@SM\TA^A^ATAOP`AVF@YMiGDI2$=Å bGUZ\ZR@M\jtGDOA`ACFOPeaJRG

$('

Æ

~]î†I‰/XCNJL?ÖZR@YMRjK@bdJiJRGJR?A@S`A@bYGUEpjKGUM\CNJLCNGUO%$=Å Þ3$

ô Å +

$&-tÅ ‰tB“M\jACFOAGDZØ[CFM=XZRC„JRJL@YO

BDMØœÞ 4 ô 9íØ

-

‰AJR?A@OÖCNJRM=bGUO65\TAecBlJR@/7Ø CFM=`A@dèoOA@`ÖJLGa^K@¿Ø

ô Ñ Ø - ~

' ¥() +-+x¦.) ¬GUÀK°”­

l Â

º«½dµP¾º«µ/½\¯w¸D­³U­¸D½É°«¯­oº†¯LÃ98°«¯Áa³U­o­o°x³U­ïÁa³U­o°¹Y¸D´ÄÃ×v6ŀÆAâ Py)°

Â

±D°”² ¯­

3

®$³;:9vs•‡ymÀK½d°”­K¾°À/³U´

3

µn­}ÃA´„¯%}2< õ ‚ Å ³U­}ÃS³ZUÀK°”­

lÆ

ÀK½É°”­K¾°À/³U´

3

µ/­}ÃA´„¯%}

~ ‡

"

Æ>=‰

Å º6¸_±c¯ºx»P¯½

È&°”ºx»Ö³rÀK½\¸B‹Y¯_¾º«°«¸D­kŒ“ü†} ~ ‡ "Æ Å Ž } ~€a

Ƃ

Å ?T}@< õ ‚Å Â

³Uº«°

Â

¹É®l°”­n±

ŒAvA

APy&ތPvA

yi!ovA/ydâ

¹Y¸D½Ö¯² ¯½d®)A

ä }

~ˆ‡

"

Æ=‰

Å ³U­}ÃBA2ä UÀK°”­

lÆ

Õȁ»P¯½\¯$!×°

Â

ºx»P¯¾L³U­K¸D­o°«¾L³U´ „†R¹Y¸D´ÄÃw¾_¸D² ¯½É°”­n±ñ¸\¹

UÀK°”­

l

Æ

¸D² ¯½ DCv

Ï

yE?F:vs•‡yYÛ »P¯“¾_¸DÁ$ÀK´„¯65´¶°”­K¯

3

µ/­}ÃA´„¯“³

Â_Â

¸‡¾°x³Uº6¯L˺†¸ }@< õ ‚Å °Â

¾L³U´”´„¯Lú”»P¯

³Uµ5U°”´¶°x³U½É®

3

µ/­}ÃA´„¯–¸\¹"ºx»P¯±D°”² ¯­cUÀK°”­ l Â

º{½ÉµP¾º{µn½\¯‡Û

ë@YbBDVNV}JR?oBlJWú/jACNO

lÆ

Þ2únjACFO

Æ

?HGJIAû–v•-yd‰/BDOA`JL?oBlJ !¿CFMeUCND@Op^gf !ovR›

âgŸky&Þ vKv

yÉâL

Í

yd‰

X?A@Z\@MügúnjACFO

Æ Ž ú f vÏ

y7CFM3JR?A@&bBDOPGUOACFbBDVgæNcIxGUVF`"bYG‡U@Z\CFOAeP~>=?A@QbGDEpjAVN@dq$ZR@YjAZR@YMR@OcJLBlJLCNGUOAM

GDISú/jPCFO

l

Æ

BDZ\@GU^c/CNGUTAM\VNfñJR?A@hMRBDE@hBlMaJR?AGUM\@hGDIú/jACNO

ÆPO

JR?nTPMJRGŒ@dU@Zsf[ú/jACFO

l

EpBDOACNIxGDVF`ñCNM

BDMRM\G/bYCkBlJR@`ÖBM\jACFOPGUZ=^ATAOA`PVF@Q5\TAMsJ$BlMCNMŠJL?A@SbBDMR@SIxGUZ=MRjPCFOE‹BlOACNIxGUVN`AM~

î†IaÅ CFMÖMRjPCFO3‰$JR?A@…&4@d/CRNPðWCNnC„J_BwbGUOPOA@bdJLCFGDO2GUO } ~€a

Æ^‚

Å CFOA`ATPb@MhB×bYGUOAOA@YbYJRCFGUOïGUO

JL?A@’M\jACFOíM\JRZRTAbdJLTAZ\@} ~ˆ‡ "

ÆF‰

ÅH‰WBlOA`wJL?gTAMpBbG‡lBDZRCFBDOcJa`A@Z\CNlBlJLC„U@’GUO)$=Å `A@OPGDJL@Y`[^cfíÜÖ~

ú/CFECFVFBDZRV„fU‰DC„I‚Å ?oBlMŠB–únjACFO

l

M\JLZ\TAbYJRTAZR@l‰PJL?P@O@dU@Zsf‹bYGUOAOA@YbYJRCFGUO‹IxGDZRETS2GDOk}2< õ ‚Å `A@YèoOP@M

vxJLGDeU@YJR?A@ZXC„JL?“JL?P@ &‚@dnC„ƒsðWC„nCNJ_BbGUOPOA@bdJLCFGDOGlI3Å2yBSbYG‡DBlZRCkBlOgJ`A@Z\CNlBlJLC„U@ŠGDOU$=Å `A@YOAGDJR@`

^gfÜUVm~

únjACFOM\JRZRTAbdJLTAZ\@M$BDZR@M\jt@YbCkBlV4bBDM\@¿GlI&ú/jPCFOdlM\JRZRTAbdJLTAZ\@M‰K^K@bBlTAMR@¿GDImJL?A@IxGUVNVFG‡XCFOAe

W

¥n¨ñ¨YX 3ªx©

¬[UÀK°”­

l Â

º«½ÉµA¾º«µ/½\¯hÈ&°”º”»wº«½É°”²‡°x³U´Š³Uµ5U°”´¶°x³U½É®

3

µ/­}ÃA´„¯°

Â

¾L³U­K¸D­o°«¾L³U´”´¶®°xÃg¯­oº«°

Ë

¯LÃ

È&°”ºx»)³

Â

ÀK°”­

Â

º{½ÉµP¾º{µn½\¯‡ÛSÔ¸D½R¯_¸D² ¯½_Õ°¹¿ºx»P¯a¾_¸D­o­K¯_¾º«°«¸D­ZS ¸\¹¿ºx»P¯“³Uµ5U°”´¶°x³U½É®

3

µn­}ÃA´„¯\[H°

Â^]

³Uº«Õ

ºx»P¯­µn­}Ãg¯½Sºx»n°

Â

°xÃg¯­oº«°

Ë

¾L³Uº«°«¸D­Ü V ¾_¸D½É½R¯

Â

ÀP¸D­}Ã

Â

º†¸“Ü ¸D­ºx»P¯

Â

ÀK°”­K¸D½

3

µn­}ÃA´„¯

 Û

_

§-¦3¦a`Lªcb

GDJLCNb@JR?oBlJ"JR?A@JRZRCNnCFBDVFC„JufGDI&JL?A@aBlT/q/CFVFCFBDZ\f^ATAOA`AVN@“CFEjAVFCN@M=JL?ABlJ"X]@“bBDO@ÉqP?PCF^AC„J

BheUVNGU^oBDV&M\@bYJRCFGUOGDIû–v•-ySJR?oBlJ¿XW@‹MR?oBDVNVQbBDVNVHd~h¡"@YOAGDJR@‹^cf…} ~ˆ‡ " Å JL?P@‹CFOcD@ZRM\@CFEpBDeU@

(5)

Ð

^cfŒpGDI%}

~€Š

Ƃ

Å ? d~iî†J$CFMM\JLZRBDCFeD?gJ\IxGUZ\XWBDZ\`hJLG‹b_?A@b_…JL?oB J$JL?PCFM`A@YèoOP@MSBpM\jACFOhM\JRZRTAbdJLTAZ\@

GUOÅ BDOA`)JR?oBlJJL?A@rbGUOPOA@bdJLCFGDOGUOT} ~ˆ‡ "

Æ=

‰ Å ZR@MsJLZ\CFbYJRMiJRG‹JL?A@&4@YnC„ƒðWCNnCNJLBbYGUOAOA@YbYJLCNGUOGUO

} ~ˆ‡ "

ÆF‰

Å CNIDdbBDO^K@Sb_?AGUMR@YOhJRGp^K@joBDZRBDVFVN@V6‰nC6~ž@D~&C„I@S `P@YèoOA@YM"B BlJbYGUOAOA@YbYJRCFGUO3~

~ù~¡–~

&4@YJÅ ^K@]B$ú/jPCFO l E‹BlOACNIxGUVN`$XCNJR?BlT/q/CFVFCFBDZ\fibGDOAOA@bdJLCNGUOSr~ f O$=Å JL?A@YZR@CFM‚BbBDOPGUOACFbBDV

?A@YZRECNJRCkBDOŽjAZ\G/`ATPbYJvsӄâÓyɉmXC„JL?ŒZR@M\jt@YbYJrJLGhX?PCFb_?ŒJR?A@’ðWVNCNˆtGUZR`ŽE–TPVNJLCNjAVFCNbBlJRCFGUOh^cfD@bdJLGUZ\M

v”X?ACFb_?hBDZRCNMR@YMŠ/CFB–JL?A@rðWVFC„ˆ7GDZR`’ZR@YjAZR@YMR@YOgJLBlJLCNGUO}y=CFM=M\…D@YXMNnéi@Z\EpC„JLCFBDO3ü

v«à á‡Øây&Þ

Ñ

v«ØâLà áydâ ãtà!ä)å$ÅïâØiâwä$=ÅïÓ

v«cy

Œ@OAG‡X`A@dèoOA@JL?A@S¡"CNZLBDbiGUjK@ZLB JLGUZBDMŠJR?A@bGDEpjKGUMRC„JLCNGUO =ÜUVm‰PX?A@YZR@`A@YOAGDJR@M=JL?A@

ðWVNCNˆtGUZR`hbGUOcJLZRBDbYJRCFGUO7~r>=?A@a¡"CNZLBDbrGUjK@ZLB JLGUZ"bBDO^K@“@dq/jAZR@YMRM\@`TPMRCFOPeBVFGnbBDVmGUZ\JR?AGUOAGDZREpBDV

IxZRBDEp@2=

õ

âá‡á‡áYâ

Æ

C–BDM

Þ

Æ

"

õ

F"}á Ü V

Ó

ú/TAjPjtGUM\@aOAG‡X JL?ABlJpv6Å

͆ó

â Kâ4yCFMSBz|BD?AVN@Z"EpBDOAC„IxGUVF`3~SŒ@“`A@YèoOP@JR?A@–JuXCFMsJL@`Œ¡"CFZRBDb

GUjK@ZRBlJLGDZ

A

BlM

A

Þ

͆ó

"

õ

&vF"xyá Ü V

Þ Ñ Í†ó

"

õ

F"Ká-Ü V 

‚ Ó

î†JMRBlJLCNM\èo@YM

A

Í Þ Í BDOP`

A

9

A

Þï™PÓ

vÐ y

Œ@rBlVFMRGa`A@dèoOA@SJL?A@SbYGUEpjPVF@dq’¡"CFZRBDb"GUjK@ZRBlJLGUZ\M

' üÞ õÍ

v "!

A

’yd‰}BlOA`ŒvÐ yW^K@bYGUEp@YM

Í-

Þ Í

ô

Þï™ BDOA` Í Þ

ô - 9

- ô Ó v#Uy

ðWGUOAM\CF`A@YZSB‹VFGnbBlV9GUZsJL?AGDOAGUZREpBDV‚IxZLBDE@$=-à%$oâ&'$NCM\TAb_?JR?oBlJ(&'$’Þ)&v«à%$nyÉ~¿>=?P@O+*,$Þ

õ

Í

vxà-$

Ñ

!.&'$gyŠBDOA`/*10$–Þ

õÍ

v«à%$<92!&3$nyŠBlZR@VFGnbBlVKIxZRBDEp@YM=GDI‚å

õRWY

v6Åy=BDOP`å

Y Wõ

v{Åyd‰}BlOA`4

'

bBDOh^K@@dq/jAZ\@M\MR@`ŽBlM

ô Þïæ

ó

$5

õ

*6$¿á Ü V 798

: â -

Þïæ

ó

$5

õ

*10$¿á Ü V 7 : Ó

vmcy

ç

7gƒ†IxGDZRE A[BDbdJLMGUO;$=Å ^cf

AŒá;HüÞ

"=<?>9@A@A@>†"B

A$vF"< âá‡á‡áYâF"B yCF"< ácÓNӄÓUá5F"B á;Ó

€C„JL?òZ\@MRjK@bdJ’JLGJR?ACFM‹BDbYJRCFGUO7‰JR?A@z|BD?AVN@ZaIxGUZRE D!v«`A@dèoOA@Y`Ç^cfEDSv«à)â&–y)Þ 7v«àhâF&yRy

MRBlJLCNM\èo@YM

DòÞ

•

æ

͆ó

"

õ

&vF"«yá5F"7Þ

Ñ •æ ͆ó

"

õ

F"KáG&vF"xydÓ vH/Uy

šoGUZ=VkB JL@ZWTAMR@¿VF@dJTAMOAGDJL@JR?oBlJ

ó

$5

*,$Sá*10$–Þ

Ñ !

æ D Ñ öæ â ó

$5

*10$Sá*6$–Þ

!

æ D Ñ öæ â v«˜cy

(6)

@ H #

X?A@Z\@*6$BDOA` *10$pBDZR@VNG/bBDV7IxZRBDEp@YM=GDImå

õRWY

v6Åy=BDOA`å

Y Wõ

v6Å2yBlM^K@YIxGDZR@D~

>=?P@BDbdJLCNGUO’GDI DïGUO $=Å fnCF@YVF`AMBlOÖGDZ\JL?PGUeUGUOoBlV3`A@bYGUEjtGUM\CNJRCFGUO

$=Å Þ ó

Y $

Åïâ

X?A@Z\@ $ Å CNMJR?A@@YCFeU@YOg^ATAOA`AVN@–BDM\MRGnbCFBlJL@Y`hJLGJL?A@r@CNeU@OclBDVFTP@ !

Þ !Kvxö

Ñ

æUyŠGDI,D"~î†I

XW@S`A@dèoOA@$

- õ Å Þ $

óô}õ

Å Þ = ™NCgâPJR?A@O

' SvK$

Åy Sv $ ' õ

ÅyÉÓ v{—cy

Y r&YpiŠyÙ"" p# Y [9<=&<&œ –

pQ

&4@YJZ;œÞ =/v ?,"uâBA,"ky Cp^t@aBbYGUEpjPVF@dq)bGDOgJLBDbYJ¿MsJLZRTPbYJLTPZR@D~>=?A@OŽJL?A@YZR@a@dq/CNM\JLMSBlOŒBlMRMRG ƒ

bCkB JL@`Ö?AGUVNGUEGUZRjA?PCFb$VNCFOA@M\TA^A^ATPOA`AVF@ [ U

õRWY

v{ÅyWXCNJL?JLZRBDOAM\CNJLCNGUO’IxTAOAbdJLCFGDOAM =\

- õ

"`_

C“BlOA`

VFGnbBDVtMR@bdJLCNGUOAM A,"†~Qî†JCFM=@BDM\f’JRGM\@@SJL?oB J

üÞ>= * ähå

õRWY Å 8A$v*$y&Þï™PâWã A[ä [†C

CFM"BpbGn`ACFE@OAM\CFGUOŒ•–EpB q/CFEpBDVFV„fOAGUO NnCFOcJL@YeUZLBl^AVF@¿?AGUVNGUEpGDZRjA?ACNbSMRTA^ Ng^ATAOA`AVN@“GDI&å

õRWY

ÅH‰4BlOA`

bGUOcU@YZRM\@VNfD‰9@dU@YZ\fŽMRTPb_?^ATAOP`AVF@“`A@dèoOA@YMB’bGDEpjAVN@dq)bGUOcJLBDbYJ¿M\JRZRTAbdJLTAZ\@D~ðWGUOP`ACNJRCFGUOívxCFCFCkyCNO

¡"@YèoOAC„JLCNGUOŒ•D~N•–@YOcJ_BDCNVFMJL?oBlJ\[

Q

ô}õ

CFMCFM\GUEGUZRjA?PCFbJLGñ‰KX?A@Z\@ Þ>U

ó WY

v{Åy`A@YOAGDJR@M$JR?A@

bBDOAGDOACFbBDV3^ATAOP`AVF@SGDIÅH~

únTAjAjKGUMR@WIxGDZBiX?PCFVF@QJL?ABlJ%7¿CFMm@YU@YO3‰cMLBf 7pÞïæ"~>=?A@WbGUVNVF@bdJLCNGUOv@?,"†âBA,"RM¿vHOPA,"«yNy‚`A@YèoOP@M

BS?PGUVFGUEGUZ\jA?ACFbWVFCFOP@Š^ATAOA`PVF@&[

|U

Í ô}õRWY

ÅH‰/BDOA`aIxZRGUEHJL?A@`A@dèoOACNJRCFGUOaGDI ;ÖXW@@BlMRCFV„f–GU^/J_BDCNO

[

Þ [

ô}õ

Ó

vs•‡™cy

Œ@SOAG‡X2èPqÖM\GUE@v ?]âBAWy]ä;BDOP`h`A@dèoOA@rB“VFGnbBDVtMR@bdJLCNGUOhؓGDI U

Y WÍ ô}õ

Å /[

ô}õ

^cf

Ø< üÞ! !

- Í 7" !#Uâ

vs•U•-y

X?A@Z\@

" üÞ|A M–vHOPAWy$PBDOP` ! ŠCNM9JR?A@Š@VN@E@OcJ&bYGUZRZ\@MRjKGUOA`PCFOAe$JRG

"

JR?AZRGUTPeU?–JL?A@WCFMRGDEpGUZ\jA?ACNMRE

vs•‡™cyÉ~9>=?P@]I«BDbdJ9JR?oBlJmØ`AGn@MmOAGDJ9`A@Yjt@YOA`“GUOSJL?A@]@VF@YEp@YOcJ=v@?WâRAWy]ä;’M\?AG‡XM9JR?oBlJ9CNJ9BDbYJRToBDVNVNf

`A@YèoOP@MiBaeDVFGU^oBlV3MR@YbYJLCNGUOؖGDIU

Y WÍ ô}õ

Å /[

ô}õ

~

Œ@aOAG‡X ZR@YbBDVNVvR›˜lŸ{‰ ç jAjK@OA`PC„q¡SyiJR?oBlJ‘U

Y W% Å CFMQ5\TPM\JSJL?A@MRjPCFOAGUZ^PTAOA`AVN@pBlMRMRGnbCFBlJL@Y`

JLGJL?P@bBDOPGUOACFbBDV=únjACFO

l

MsJLZ\TAbYJRTAZR@GUOíÅH‰&X?AGDMR@BDT/q/CNVFCkBlZ\fŽVFCNOA@‹^PTAOA`AVN@CFM - õ

‰M\GJL?oB J

U

Y W% Å&;[

ô}õ

CNMQBDbYJRToBDVFV„frJR?A@=MRjPCFOAGUZ&^PTAOA`AVN@iBlMRMRGnbCFBlJL@Y`“JLGJL?A@iú/jPCFO

l

M\JRZRTAbdJLTAZ\@iGDO‹Å XCNJR?

BDT/q/CFVNCkBDZsf^ATAOP`AVF@ [[Þ' - õ [ Í  ô}õ

‚

Þ [ - Í

ô}õ

‚

/[

Í  ô}õ

‚

Þ

[n~=>=?A@M\@bdJLCFGDOØaCNMJR?gTAM

BaM\jACFOPGUZ=VNfnCFOPe“CFO U

Y WÍ ô}õ

Å /[

ô}õ

Þ $ Í

ô}õ

ÅH‰oX?ACNb_?hM\?AG‡XMJR?oBlJ

DíáØrÞ !{Ø/Ó

vs•-æUy

(7)

>=?A@“bBDMR@ 7hÞ æ"92•“CFM"M\CFECFVkBlZüWJR?A@“MR@YbYJLCNGUO؋CFMi`A@YèAOA@`^cf)JL?P@“MLBDE@IxGUZ\E–TAVkBl@BDM

^K@YIxGUZ\@D‰BDOA`C„J¿VFCF@YMSCFO U

Y WÍ ô}õ

Å [

ô}õ

Þ U

Y WÍ ô}õ

Å <

I

~’>=?gTAMCFOŽJL?ACNMrbBDMR@pØCNMBDO

TAM\ToBDV4M\jACFOAGDZ=GUOÅ v«M\@@U›Ð Ÿkyd~

Œ@$MRTPjAjtGDMR@$IxZ\GUE OAG‡XÇGUOpJR?oBlJŠÅ CFM]zp|Bl?AVF@YZsƒù&CNOAM\JR@CFOaXCNJR?‹jKGUMRC„JLC„U@MRbBlVkBDZbTAZslBlJLTAZ\@D~

>=?A@’EpBDOAC„IxGUVF`Å CFMrbGUEjoBDbdJ‰&^cfœ¢ÖfD@Z\MFs&>=?A@YGUZR@YEh~ê]fZR@M\bBDVNCFOAehJL?A@E@YJRZRCNb‹GUOíÅ CNI

OA@Yb@YMRMLBlZ\fU‰AX]@bBlO’MRTAjAjKGUM\@"JL?oBlJ]JL?A@M\bBDVFBDZWbYTAZ\lBlJRTAZR@$GDI9Å CFMW@Y‘gToBDV7JRGaælöv6æ ö>9ñæUyɉABDOA`

JR?nTPMJL?A@ëCFbYbC/IxGDZRE

BDOP`–JL?A@z|BD?AVN@ZmIxGUZRE D×BlZR@ŠZ\@VkB JL@`“^cf–JR?A@Š@Y‘nTABDVFC„Juf

Þ v6ælöo9’æUy D"~

_ §-¦&¦+-+x¦.)3ªx© ¸D½ 7¯² ¯­ºx»P¯

Â

ÀK°”­K¸D½

Ë

¯´ÄÖØ

Â

³Uº{°

ÂxË

¯ Â

Ü 7

ØSÞ2™PâãF* ä)å$õRWYÉÅ v•‡cy

³U­}Ã

Í ØSÞ - ô

ØSÞ v •

Ð Ø

Ñ ! æ

á‡ØDyÉâ v• Ð y

³U­}Ãi¹Y¸D½<7ñ¸ÃcÃDÕ

Â

³U® 7Þ2æ"d9Ǖ

‹ÍLØ¿Þ

- ô Ø¿Þ

"d9Ǖ

æ "9Ǖ

v •æ Ø

Ñ ! á‡ØUydâ v•5#Uy

ȁ»P¯½\¯ °Â º”»P¯

Â

¾L³U´Ä³U½r¾µ/½É²-³Uº«µ/½\¯“¸\¹iÅ ÛEÉ­pÀ/³U½Éº{°«¾µn´Ä³U½iJ8F

Â

»P¸DÈ

Â

º”»/³Uº -

Ø¿Þï™AÛ

>=?P@pjAZ\G/GlIŠGDI]JL?A@“èoZ\M\J¿JuXWG)BDMRM\@Z\JRCFGUOPMrbBDOŒ^K@aIxGUTAOA`CFO[›m-Ÿ6~p>=?A@jAZRGnGDIŠGlISvs• #Uy$CFM

BDOABDVFGUeDGUTAM7JRGJR?oBlJmGDI3vs• Ð y&v«GUOA@QGUOPVNf"?ABDM4JLGZR@YjAVkBDbY@QMRGUE@ õÍ

bYG/@pbYCF@YOgJRM9^cf

ô}õ

Í ô}õ

bYG/@bCF@YOcJLM~

ûMRCNOAe×vs•-æUyɉ"v•5#Uy“BDOA`œJL?P@I«BlbYJaJL?oB J

Þ õ

ôAÍ

D Þ v{˜",9 Ð y D IxGUZ 7 Þ æ"BDOA`

Þ õ

ô

D[Þ v{˜"d9טcy DÇIxGUZ 7aÞæ "9ǕD‰AXW@SGU^PJLBDCFO

¦}§-¦ XA§4ªx©4

»P¯

Â

ÀK°”­K¸D½

Ë

¯´ÄÃØ’°

Â

³U­Ž¯°„±c¯­

Â

ÀK°”­K¸D½¸\¹ Í

È&°”º”»h¯°„±c¯­o²-³U´¶µP¯¿•^m"\v "d9ò•-y

¹Y¸D½ 7Þæ"³U­}ËÈ&°”º”»)¯°„±c¯­o²-³U´¶µA¯S•^mov"9Ǖ‡y

Í

¹Y¸D½<7Þ2æ"d9ǕgÛ

î†J]CFMQOAG‡X @BDM\faJLG¿MR@Y@iJR?oBlJIxGUZ 7pÞïæ"9•iØ¿CFMBrz|BD?PVF@Z\CkBDOzCFVNVFCNOAe"MRjPCFOAGUZY~îuOA`A@Y@`3‰

C„JCNM@OPGUTAeU?ñJRGTAMR@JR?A@’BD^KG‡U@bYGUZRGDVFVkBlZ\fBDOA`ŒJL?A@‹I«BlbYJ–JR?oBlJJR?A@M\bBDVFBDZbYTAZ\lBlJRTAZR@GlIiÅ

CNMv«`ATA@“JRGÖGDTAZSOAGUZREpBDVNCFMLB JLCFGDO}yiÊÇÞ ælöv6ælö 9€æUy"Þ v{˜"Š9|mcyYv{˜"9€˜cyd‰3JRGUeU@YJR?A@ZXC„JL?JL?A@

IxGUVNVFG‡XCFOPe–ZR@YMRTAV„J=IxZRGUEø›# Ÿ

£r¤m¥g¦}§-¥/¨ 3ªx© v{zCFZ\b_?g^t@YZReA‰A•—U˜8mcyQ¬$­o®r¯°„±c¯­o²-³U´¶µA¯]·Ž¸\¹=ºx»P¯=¼S°”½s³g¾$¸dÀP¯½s³Uº†¸D½¸D­³“¾_¸DÁ$À/³g¾º

Úon³l»n´„¯½

Â

ÀK°”­’Áa³U­o°¹Y¸D´ÄÃav6Å

͆ó

â Kâ3ykö ¸ÃcÃFSÈ&°”º”»¿ÀP¸

Â

°”º«°”² ¯

Â

¾L³U´Ä³U½i¾µ/½É²-³Uº«µ/½\¯Ê

Â

³Uº«°

ÂxË

¯  º”»P¯

°”­K¯L̵/³U´¶°”º{®

· Í Î ö 9Ǖ

Ð ö CNOPI

Ò

ÊÓ v•^mcy

Ô¸D½R¯_¸D² ¯½_Õi°¹ºx»P¯¯L̵/³U´¶°”º{®»P¸D´ÄÃ

Â

Õ$º”»P¯­×¯² ¯½d®)¯°„±c¯­

Â

ÀK°”­K¸D½Sؾ_¸D½É½\¯

Â

ÀP¸D­}ÃU°”­n±hº6¸Ö·€°

 ³

Úon³l»n´„¯½É°x³U­hÚ¿°”´”´¶°”­n±

Â

ÀK°”­K¸D½ÉÕ°«Û”¯‡Û

Â

³Uº{°

ÂxË

¯ Â

º”»P¯“¯L̵/³Uº{°«¸D­

ÜaÝ]ØíÞ2ßmàá‡Ø9×ß &v«àyá Øiâ7 ãtà ä)å$Å v«ßŽÞ

Ñ ·

ælö 9׿ ydÓ v•/Uy

(8)

@ H /

@JL?gTAM?oBD@¿JR?A@

¦}§-¦ XA§3ª ¸D½ 7Œ¸ÃcÃDÕQºx»P¯

Â

ÀK°”­K¸D½=ØÖ°

Â

³Úon³l»n´„¯½É°x³U­hÚ¿°”´”´¶°”­n±

Â

ÀK°”­K¸D½YÛ

>=?A@SbBDM\@ 7aÞæ "CFM=M\GUE@YX?oBlJ?oBlZR`A@YZ‰oMRCNOAb@SOAGpBDOoBlVFGUeUTP@"GDIzSCNZRb_?g^K@ZRePsM>=?A@YGUZR@YE

CFM…nOPG-XOIxGDZ"ú/jPCFO l E‹BDOPCNIxGUVN`AMBDOA`hX]@–?oBD@rJLG‹ZR@M\GUZ\JJLGBDO Bl`/ƒu?AGnb BDZ\eUTAE@OcJ~ &4@YJ$TAM

èoZRMsJiCNOcJLZRGn`ATAbY@MRGUE@SOAGDJLBlJLCNGUOAMü

Ø - üÞÇØ–äTSv $ Í

ô}õ

Åy â Ø ô üÞ •

Ð "d9 Ð

‹Ø–äTSv$ Í

ôAÍ

Åy Ó

vs•‡˜cy

îuOcJR@eUZRBlJLCNOAeaG-D@Z$Å X]@¿CFEEp@Y`ACkBlJR@V„faGU^PJ_BlCFO’IxZRGUEÙðWGUZRGDVFVkBlZ\f‹P~N•

Ø - Í I Þ " 9€•

" Ø ô Í I Ó vs•‡—cy

_ §-¦ &¦+V-^+«¦.)4ª »P¯]¹Y¸D´”´„¸DÈ&°”­n±a½R¯´Ä³Uº«°«¸D­

Â

»P¸D´ÄÃ

Ü 7 Ø -

Þ2™Pâ=ãF* ä)å$õRWYÉÅÇâ v6æD™cy

Ü 07 Ø - 9 7*òá‡Ø

ô

Þï™Pâã *7 ä)å Y Wõ ÅÇâ v6æ/•-y

Ü 0 7 Ø ô

Þ2™Pâ=ã *7 ä)å Y WõLÅÇâ v6æUæUy

Ü 7 Ø ô

9"*òá‡Ø

-

Þï™PâãF* ä)å$õRWYÉÅÇÓ v6æDcy

_ §-¦3¦a`Lª >=?A@’èoZRMsJZR@VFBlJLCNGUOñCNM–joBDZsJaGDI&Z\GUjtGDMRCNJRCFGUOñP~N•D~îuOíGUZR`A@YZ–JLGŽjAZ\G-D@Œv6æ/•-yɉQVF@YJ–TAM

bGUOAM\CF`A@YZ’JL?A@ŽVFGnbBlV$IxZLBDE@M’GlIrå

õRWY

v{ÅyÖBlOA`Çå

Y Wõ

v{ÅyCFOcJLZ\G/`PTAb@Y`ïCNO2ún@bYJRCFGUOïæ/ü *6$ Þ

õ

Í

v«à%$

Ñ

!.&'$nypBlOA` *10$ÇÞ õÍ

vxà-$$9 !.&'$gyd‰=X?A@YZR@ &'$ÇÞ &v«à%$gyɉBDOA`]=-à%$oâ&'$NCCFM‹BñVFGnbBDV

GUZ\JR?AGUOAGUZ\E‹BlV‚IxZRBDE@GDI&å$ÅH~SšoZRGDE v{æD™cy=XW@èAOA`Ü 7 8

: Ø - Þ ÜaÝ

: Ø - Þ !†Ü : Ø -

‰7M\G’TAMRCNOAe

v{˜cyŠBDOP`ñv•‡˜cyWeUC„U@M

™ ó

$5

õ Ü 7C8

: Ø - 9 *10$Sá‡Ø ô Í

Þ ó

$5

õ ÜaÝ

: Ø - Í Ñ

æ ó

$5

õ

vxØ

ô

â*6$Sá Ü 798

: Ø - y Ñ ó

$5

õ

vxØ

ô

â*,$Sá*10$ráØ

ô y

Þ •

æ ÜØ

- Í Ñ gvxØ

ô

â

ô Ø - y Ñ •

æ

vxØ

ô

â‡v

Ñ

!.D

Ñ

öÖyØ

ô y

Þ •

æ ÜØ

- Í Ñ vÐ "d9 Ð y Ø ô Í 9 •æ v Ð "d9 Ð y Ø ô ÍÓ

>=?P@’VkBDMsJ–@dq/jAZ\@M\MRCFGDOíCNM^cfñbYGUOAMsJLZRTPbYJLCNGUOwBjKGUMRC„JLC„U@pIxTPOAbYJRCFGUOñGDOíÅH‰&MLBf Í

~îuOcJL@Ƀ

eUZLBlJRCFOAeG‡U@YZ’Å BDOP`òTAMRCNOAeŒJR?A@)eD@OA@YZLBDVNCFMR@Y` &4CFb_?POA@Z\G-XCNbÖIxGUZRE–TPVkBívR›˜lŸ{‰

ç

jAjK@OP`AC„q[¡Syd‰

ðWGUZRGUVNVkBDZsf/~N•¿BDOA`Œv•‡—cyd‰AX]@SGU^PJLBDCFO

Í I Þ •

æ

v{Ü %_ÜaØ

-

âLØ

- y I Ñ v Ð "d9 Ð y Ø ô Í I 9 •

æ vÐ "9 Ð y Ø ô Í I

Þ •

æ

v Í Ø - Ñ •

Ð Ø - 9 !

æ •

æ"d9Ǖ

á‡Ø

-

âRØ

- y I Ñ

v6æ "9[æDy Ø ô Í I

Þ Ø - Í I

˜"\v"d9Ǖ-y

v«˜"9׿Uyv«˜"9 Ð y 9 ! Ñ

!Lv{˜" 9 Ð y

æ"ŽÞǙPâ

(9)

JR?nTPM"jAZRG‡nCFOPe‹JL?oB J Þ ™BDOA`bYGUOAM\@‘gTA@OcJRVNfœv{æ/•-yÉ~$>mGb_?A@b_…ÖJL?A@VkBDMsJiJuX]G’@‘gToBlJRCFGUOPM$GUOA@

?oBlMJRGaE‹BD…l@STAMR@SGDImJL?A@SGUjK@ZRBlJLGDZ

A

)~QšoZRGUE - Ø -

ÞǙ–XW@SèoOA`

™rÞ

•

Ð "d9 Ð Íô Ø - Þ ô Ø ô â v{æ Ð y

BDOP`ÖM\G

A

ô Þ Ñ

!‹Ø

ô Ó v{æ #Uy

&4@YJTAMb_?AGnGUM\@=B$VFGnbBlVcGUZ\JR?AGUOAGUZ\E‹BlVUIxZLBDE@ F"

O

TAMRCNOAeav«cyd‰Av/Uyɉovs•˜cymBlOA`v6æ #Uy4X]@ŠbYGUEpjPTPJL@

™ Æ

_ õ Ü Ø ô 9 •æ vD_

Ñ ! &vD_YyRyá‡Ø - Í

Þ ÜØ

ô Í Ñ gvRv 9 ! A

’yØ

ô

âRØ

- y

Ñ • Ð Æ

_ õ

vRvD_*9! vD_YyRyánvD_

Ñ ! vD_YyRyá‡Ø

-

âLØ

- y

Þ ÜØ

ô Í Ñ

æ gvpØ

ô

âLØ

- y 92v\v«ö

Ñ

!.Dyá‡Ø

-

âLØ

- y

Þ ÜØ

ô Í Ñ

˜" Ø - Í 9 Ð " Ø - Í üÞÍ

DTAMsJ&BDMm^t@dIxGUZR@l‰lX]@ŠbGDEpjAT/JL@QJL?A@]CFOcJL@YeUZLBDVcG‡D@Z&Å GDIAJL?P@WjKGUMRC„JLCND@&IxTAOAbYJRCFGUO

Í

‰lOoBDE@V„f

Í I Þ ÜaØ

ô Í I Ñ Ð " Ø - Í I

Þ v6Ü % ÜØ

ô

âLØ

ô y I Ñ Ð " Ø - Í I

Þ v‹ÍRØ

ô Ñ •

Ð Ø ô 9 !

æ •

æ"9€•

áØ

ô

âLØ

ô y I Ñ Ð " Ø - Í I

Þ Ø ô Í I

•^m"\v"d9Ǖ-y

Ñ

v«˜"9׿Uyv«˜"9 Ð y

Ð 9 !

æ Ñ  !_v{˜" 9 Ð y

æ"d9Ǖ Ñ Ð v"9€•-y Þ2™Pâ

JR?nTPM"jAZRG‡nCFOPe Þ ™P~$ðWGUOAMR@Y‘gTA@OcJLV„fŽÜ“ÝŠØ

ô 9 õ

Í

v«à

Ñ ! &vxàŽyRy&á Ø

- Þ ™IxGUZ$BlVFV‚à äŒå$ÅH‰

X?ACNb_?hCNM=@‘gTAC„DBlVF@OcJ=JRGv{æUæUyWBDOP`ñv{æDcyd~

~ù~¡–~

>=?A@rBD^KG-D@SjAZRGUjKGUM\CNJLCNGUO’EGDJLC„DB JL@M]JL?A@IxGUVNVFG‡XCFOAe

' ¥(*),+-+«¦.)4ªx© ¬ Â

¯_¾º«°«¸D­SØ ¸\¹º”»P¯

Â

ÀK°”­K¸D½

3

µn­}ÃA´„¯¸\¹]³i±D°”² ¯­ UÀK°”­

l Â

º{½ÉµP¾º{µn½\¯i¸D­³$Úon³l»n´„¯½

Áa³U­o°¹Y¸D´ÄËv6Å

ôAÍ â Kâ4y

Â

³Uº«°

Â

¹É®l°”­n±

Ü VÝ ØíÞ

•

æ à á‡Ø9

!

æ

á(7Øâ ãtà äå$Å

v{æmcy

° Â

¾L³U´”´„¯L˳pÚon³l»n´„¯½d°x³U­ÖÚ¿°”´”´¶°”­n±

Â

ÀK°”­K¸D½YÛ

¡"@dèoOACNOAe“Ø üÞÇØ

ô Ñ Ø -

XW@SCNEpE@`ACFBlJL@YVNfGU^PJLBDCFOJR?A@

¦}§-¦ XA§4ª 13¯º ; 3

¯’³¾_¸DÁ$ÀK´„¯65޾_¸D­oº{³g¾º

Â

º«½dµP¾º«µ/½\¯Ö¸D­×³)Úon³l»n´„¯½ˆ]°”­

Â

º†¯°”­wÁa³U­o°¹Y¸D´ÄÃ

v{Å

ôAÍ

âBtâ 4yÛ »P¯­ º”»P¯ UÀK°”­

l Â

º{½ÉµP¾º{µn½\¯[¸D­ïÅ È&°”º”»2³Uµ5U°”´¶°x³U½É®

3

µn­}ÃA´„¯[ ¾L³U½É½É°«¯

 ³

Úon³l»n´„¯½É°x³U­hÚ¿°”´”´¶°”­n±

Â

ÀK°”­K¸D½Ø[äTSv $ Å $

ÅyÛ

Références

Documents relatifs

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des