{
  "id": "1310.8606",
  "version": "v1",
  "published": "2013-10-31T17:34:01.000Z",
  "updated": "2013-10-31T17:34:01.000Z",
  "title": "Totally Geodesic Submanifolds in Tangent Bundle with g - natural Metric",
  "authors": [
    "Stanisław Ewert-Krzemieniewski"
  ],
  "comment": "Key words: Riemannian manifold, submanifold, tangent bundle, g - natural metric, totally geodesic, Sasaki metric",
  "categories": [
    "math.DG"
  ],
  "abstract": "In the paper we investigate submanifolds in a tangent bundle endowed with g-natural metric G, defined by a vector field on a base manifold. We give a sufficient condition for a vector field on M to defined totally geodesic submanifold in (TM,G). The parallel vector field is discussed in more detail.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-31T17:34:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53B25",
      "53C40",
      "53B21",
      "55C25"
    ],
    "keywords": [
      "tangent bundle",
      "parallel vector field",
      "g-natural metric",
      "base manifold",
      "sufficient condition"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1142/S0219887814600330",
      "journal": "International Journal of Geometric Methods in Modern Physics",
      "year": 2014,
      "month": "Sep",
      "volume": 11,
      "number": 9,
      "pages": 1460033
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014IJGMM..1160033E"
    }
  }
}