Dilatation structures in sub-riemannian geometry
Differential Geometry
2009-02-06 v3 Metric Geometry
Abstract
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.
Cite
@article{arxiv.0708.4298,
title = {Dilatation structures in sub-riemannian geometry},
author = {Marius Buliga},
journal= {arXiv preprint arXiv:0708.4298},
year = {2009}
}
Comments
to appear in "Contemporary Geometry and Topology and Related Topics. Cluj-Napoca, August 19-25, 2007"