arXiv:0708.4298 Abstract | arXiv Analytics

arXiv:0708.4298 [math.DG]Abstract References Reviews Resources

Dilatation structures in sub-riemannian geometry

Published 2007-08-31, updated 2008-04-23Version 3

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.

Comments: to appear in "Contemporary Geometry and Topology and Related Topics. Cluj-Napoca, August 19-25, 2007"

Journal: Contemporary Geometry and Topology and Related Topics. Cluj-Napoca, August 19-25, 2007, Cluj University Press (2008), 89-105

Categories: math.DG, math.MG

Subjects: 53C17, 22E20, 20F65

Keywords: sub-riemannian geometry, regular sub-riemannian manifolds admit dilatation, sub-riemannian manifolds admit dilatation structures, intrinsic treatment, normal frames

Tags: journal article

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