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arXiv · 1210.2615

On the Spherical Hausdorff Measure in Step 2 Corank 2 sub-Riemannian Geometry

Ugo Boscain·Jp Gauthier
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Abstract

In this paper, we consider generic corank 2 sub-Riemannian structures, and we show that the Spherical Hausdorf measure is always a C^1-smooth volume, which is in fact generically C^2- smooth out of a stratified subset of codimension 7. In particular, for rank 4, it is generically C^2 . This is the continuation of a previous work by the auhors.

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Ugo Boscain, Jp Gauthier. 2012-10-09. On the Spherical Hausdorff Measure in Step 2 Corank 2 sub-Riemannian Geometry. https://arxiv.org/abs/1210.2615

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