{
  "id": "0712.3719",
  "version": "v1",
  "published": "2007-12-21T15:32:36.000Z",
  "updated": "2007-12-21T15:32:36.000Z",
  "title": "Isometries Groups and a Multiresolution Analysis on Sub-Riemannian Manifolds",
  "authors": [
    "Romina Cardo",
    "Alvaro Corvalan"
  ],
  "comment": "This article is submitted for publication",
  "categories": [
    "math.DG"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-21T15:32:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C17",
      "42C40"
    ],
    "keywords": [
      "sub-riemannian manifold",
      "isometries groups",
      "multiresolution analysis",
      "riemannian contraction",
      "sub-riemannian metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.3719C"
    }
  }
}