The structure of the cut locus in dimension less than or equal to six

The second part of Lemma 4 shows that the mapping Rec associating to each singular configuration P the line of screws reciprocal the the Pl¨ ucker coordinates of the six limbs is

This section discusses the primary constructs of this study related to core values; spiritual, religious, or secular orientation; and consumer behaviour. In addition, the constructs

In this paper we investigate the small time heat kernel asymptotics on the cut locus on a class of surfaces of revolution, which are the simplest two-dimensional Riemannian

Toute utilisation commerciale ou impression systématique est constitutive d’une infrac- tion pénale.. Toute copie ou impression de ce fichier doit contenir la présente mention

However, lifting these operators amounts to constructing formal descent data for X (cf. [2] and [4]) and we present the proof from this point of view.. without

Optimal control, sub-Riemannian geometry, differential-geometric methods, left-invariant problem, group of motions of a plane, rototranslations, cut locus, optimal synthesis.. ∗

lemma shows that one of the maps in {L, L 2 , L 3 } has a point of its critical curve which is sent after at most 12 iterations onto a periodic orbit of period a multiple of ord

According to Proposition 2.4.1 (beware that the maps G j 000 in our case correspond to the maps G j of the proposi- tion), we can conclude this gives us persistent intersections