On the Spherical Hausdorff Measure in Step 2 Corank 2 sub-Riemannian Geometry
Differential Geometry
2012-10-10 v1
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.
Keywords
Cite
@article{arxiv.1210.2615,
title = {On the Spherical Hausdorff Measure in Step 2 Corank 2 sub-Riemannian Geometry},
author = {Ugo Boscain and Jp Gauthier},
journal= {arXiv preprint arXiv:1210.2615},
year = {2012}
}