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arXiv:0712.3719 [math.DG]AbstractReferencesReviewsResources

Isometries Groups and a Multiresolution Analysis on Sub-Riemannian Manifolds

Romina Cardo, Alvaro Corvalan

Published 2007-12-21Version 1

In this letter we exhibit the relation between the isometries of a Riemannian contraction of a sub-Riemannian manifold and those of the sub-Riemannian metric, for to use this relation with two goals: establishing a result about the existence of fixed points of isometries groups; and the other, defining a Multiresolution Analysis (MRA) on sub-Riemannian manifolds that it will permit to obtain Haar's bases on the manifolds before mentioned. Keywords: Sub-Riemannian geometry, minimizing geodesic, Haar functions, self-similarity.

Comments: This article is submitted for publication
Categories: math.DG
Subjects: 53C17, 42C40
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