Dilatation structures in sub-riemannian geometry

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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"

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Differential Geometry, Metric Geometry, 53C17, 22E20, 20F65

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http://salesiana.dossiersoluciones.com/handle/123456789/218613

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.4298
 http://arxiv.org/abs/0708.4298
 Contemporary Geometry and Topology and Related Topics. Cluj-Napoca, August 19-25, 2007, Cluj University Press (2008), 89-105

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