Dilatation structures in sub-riemannian geometry
Dilatation structures in sub-riemannian geometry
Based on the notion of dilatation structure arXiv:math/0608536, we give an intrinsic treatment to sub-riemannian geometry, started in the paper arXiv:0706.3644 . Here we prove that regular sub-riemannian manifolds admit dilatation structures. From the existence of normal frames proved by Bellaiche we deduce the rest of the properties of regular sub-riemannian manifolds by using the formalism of dilatation structures.
to appear in "Contemporary Geometry and Topology and Related Topics. Cluj-Napoca, August 19-25, 2007"
Mathematics - Differential Geometry, Mathematics - Metric Geometry, Differential Geometry (math.DG), FOS: Mathematics, Metric Geometry (math.MG), 53C17, 22E20, 20F65
Mathematics - Differential Geometry, Mathematics - Metric Geometry, Differential Geometry (math.DG), FOS: Mathematics, Metric Geometry (math.MG), 53C17, 22E20, 20F65
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