Any sub-Riemannian metric has points of smoothness
نویسندگان
چکیده
منابع مشابه
Any Sub-Riemannian Metric has Points of Smoothness
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.
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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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ژورنال
عنوان ژورنال: Doklady Mathematics
سال: 2009
ISSN: 1064-5624,1531-8362
DOI: 10.1134/s106456240901013x