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On the Hausdorff volume in sub-Riemannian geometry

✍ Scribed by Andrei Agrachev; Davide Barilari; Ugo Boscain


Publisher
Springer
Year
2011
Tongue
English
Weight
404 KB
Volume
43
Category
Article
ISSN
0944-2669

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We study the local geometry of the space of horizontal curves with endpoints freely varying in two given submanifolds P and Q of a manifold M endowed with a distribution D βŠ‚ T M. We give a different proof, that holds in a more general context, of a result by Bismut [Large Deviations and the Malliavi