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

نویسندگان

  • Ugo V. Boscain
  • Jean-Paul Gauthier
چکیده

In this paper, we consider generic corank 2 sub-Riemannian structures, and we show that the Spherical Hausdorf measure is always a C-smooth volume, which is in fact generically Csmooth 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. subjclass: 53C17, 49J15, 58C35

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عنوان ژورنال:
  • SIAM J. Control and Optimization

دوره 51  شماره 

صفحات  -

تاریخ انتشار 2013