On the Spherical Hausdorff Measure in Step 2 Corank 2 sub-Riemannian Geometry - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2012

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

Résumé

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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Dates et versions

hal-00739965 , version 1 (09-10-2012)

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Ugo Boscain, Jean-Paul Gauthier. On the Spherical Hausdorff Measure in Step 2 Corank 2 sub-Riemannian Geometry. 2012. ⟨hal-00739965⟩
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