Any Sub-Riemannian Metric has Points of Smoothness
نویسنده
چکیده
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.
منابع مشابه
A ug 2 00 8 Any Sub - Riemannian Metric has Points of Smoothness
We prove the statement in the title that 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 mani-
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تاریخ انتشار 2008