Any sub-Riemannian Metric has Points of Smoothness

Details Any sub-Riemannian Metric has Points of Smoothness Any sub-Riemannian Metric has Points of Smoothness

2008-08-29

arxiv.org/abs/0808.4059v2

Mathematics

Differential Geometry

Scientific paper

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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