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arXiv:0808.4059 [math.DG]AbstractReferencesReviewsResources

Any sub-Riemannian Metric has Points of Smoothness

Andrei Agrachev

Published 2008-08-29, updated 2008-09-25Version 2

We prove the result stated in the title; it is equivalent to the existence of a regular point of the sub-Riemannian exponential mapping. We also prove that the metric is analytic on an open everywhere dense subset in the case of a complete real-analytic sub-Riemannian manifold.

Categories: math.DG, math.OC
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