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20042009
most citedNurowski's conformal structures for (2,5)-distributions via dynamics of abnormal extremals

7 citations · 21 across the 10 of their papers we have counts for

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Showing 2008Show all

2 papers · 1 filter

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.AP2008★ 3 cited

The intrinsic hypoelliptic Laplacian and its heat kernel on unimodular Lie groups

Andrei Agrachev, Ugo Boscain, Jean-Paul Gauthier +1

We present an invariant definition of the hypoelliptic Laplacian on sub-Riemannian structures with constant growth vector, using the Popp's volume form introduced by Montgomery. Th…