Dilatation structures in sub-riemannian geometry

Details Dilatation structures in sub-riemannian geometry Dilatation structures in sub-riemannian geometry

2007-08-31

arxiv.org/abs/0708.4298v3

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

Mathematics

Differential Geometry

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

Scientific paper

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.

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