Sur l'effondrement à l'infini des variétés asymptotiquement plates.
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(97) °;¶³µ¹°u± o Ù@¾µ° M ¾µ¹§°7ع»9´¯óÙۯذF³µ¼½·®«#¯® ¯ ± O ± ® ¯ º ¸ ó » 7 ´ ¯ ν>1 C >0 o. vol B(o, t) ∀ t ≥ s > 0, ≥ Co vol B(o, s). }°. ν t . s. ¶¯®´±½¾µ¸³µ«Ø.±Ú«#³µ´ ¯®«QÙÛ¯Ø ³µ°± ¾µ°u±O¯Ø3®±Ú«®¹ 9±O¯¼¯°u±¶³®¹±Ú¹ ¯Ø ±O¯®¸§¸ß¯ØE»´7¯ M ¯Ø±|¶l¸¾>±O¯rÙ ØE»´7¯ (n, C , ν) 2. 1 = 1 (n, Co , ν). ¯±. 2 =. o. sup(|Rm| ro2 ) < 1 . M. ³µ´ ν>2. ¯±. Z. n. |Rm| 2 ρo (ro )dvol < 2 .. ª¾>« ³µ° ¬#»´7¯®°u± Ù@¾>°¸ß¯ØóÙÛ¯®´>ø ¾ M ¯ØM± ¸ß¯ }·®«#¬&°l³µ«®¼¾µ¸CÙ ´°|¯# ¾µ«®¹ ¬±O¬ ³µ¼¶¾ 9±O¯r± ³@± ¾µ¸¯ ¼½¯®°u± Û¬#³ Ù¬Øع]»´7¯ »´¹¯®®±´°.«#¯ ±O¯®¼½¯®°u± °7¹ ÙÛ¯E± ³µ«#¯¶F¸ ¾>± )½ñ8oñ8;uñ##ß8;õãb#é769æµñ8rò]æµãñ#5ã5.é7657æ 578õ8Eñ#ö>ßõ6oõ757àß8r µõñ8;õ8 ä ( ½ßàÔ9ô@89 Ric = 0 : à supM (|Rm| ro2) 89à#% 75ß8 M 89à#õ8Oè
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