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math.DG2008★ 1 cited
Any sub-Riemannian Metric has Points of Smoothness
Andrei Agrachev
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 o…
math.DG2006★ 7 cited
Nurowski's conformal structures for (2,5)-distributions via dynamics of abnormal extremals
Andrei Agrachev, Igor Zelenko
As was shown recently by P. Nurowski, to any rank 2 maximally nonholonomic vector distribution on a 5-dimensional manifold M one can assign the canonical conformal structure of sig…