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- Title
Abnormals and Cut Loci.
- Authors
Jacquet, S.
- Abstract
In this paper, we study the regularity properties of sub-Riemannian distances and their interrelations with abnormal extremals. The existence of singular minimizers makes the study of sub-Riemannian distances rather complicated. It is known that these distances are not C"- in a neighborhood of a point reached by an abnormal minimizer [8] and may also fail to be subanalytic [2].
- Subjects
RIEMANNIAN manifolds; EXTREMAL problems (Mathematics); CALCULUS of variations; MAXIMA &; minima; MATHEMATICAL optimization; MATHEMATICS
- Publication
Journal of Mathematical Sciences, 2004, Vol 120, Issue 1, p919
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1023/B:JOTH.0000013555.54955.20