{
  "id": "0708.4298",
  "version": "v3",
  "published": "2007-08-31T08:44:27.000Z",
  "updated": "2008-04-23T11:57:27.000Z",
  "title": "Dilatation structures in sub-riemannian geometry",
  "authors": [
    "Marius Buliga"
  ],
  "comment": "to appear in \"Contemporary Geometry and Topology and Related Topics. Cluj-Napoca, August 19-25, 2007\"",
  "journal": "Contemporary Geometry and Topology and Related Topics. Cluj-Napoca, August 19-25, 2007, Cluj University Press (2008), 89-105",
  "categories": [
    "math.DG",
    "math.MG"
  ],
  "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.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-04-23T11:57:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C17",
      "22E20",
      "20F65"
    ],
    "keywords": [
      "sub-riemannian geometry",
      "regular sub-riemannian manifolds admit dilatation",
      "sub-riemannian manifolds admit dilatation structures",
      "intrinsic treatment",
      "normal frames"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.4298B"
    }
  }
}