{
  "id": "math/0503562",
  "version": "v1",
  "published": "2005-03-24T21:06:43.000Z",
  "updated": "2005-03-24T21:06:43.000Z",
  "title": "Totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold",
  "authors": [
    "Alexander Yampolsky"
  ],
  "comment": "Matematicheskaya fizika, analiz, geometriya - to appear",
  "categories": [
    "math.DG"
  ],
  "abstract": "We give a full description of totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold of constant curvature and present a new class of a cylinder-type totally geodesic submanifolds in the general case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-24T21:06:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53B25",
      "53C42"
    ],
    "keywords": [
      "tangent bundle",
      "riemannian",
      "cylinder-type totally geodesic submanifolds",
      "full description",
      "general case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3562Y"
    }
  }
}