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

Published 9 Oct 2012 in math.DG | (1210.2615v1)

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 C². This is the continuation of a previous work by the auhors.

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