{
  "id": "1607.06918",
  "version": "v1",
  "published": "2016-07-23T11:22:27.000Z",
  "updated": "2016-07-23T11:22:27.000Z",
  "title": "On a class of submanifolds in tangent bundle with g - natural metric - normal lift",
  "authors": [
    "Stanisław Ewert-Krzemieniewski"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "An isometric immersion of a Riemannian manifold $M$ into a Riemannian manifold $N$ gives rise in a natural way to variety of immersions into the tangent bundle $TN$ with a non-degenerate $g-$ natural metric $G$. In the paper we introduce and study an immersion into $TN$ defined by the immersion $f:M\\longrightarrow N$ itself and the normal bundle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-23T11:22:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53B20",
      "53C07",
      "53B21",
      "55C25"
    ],
    "keywords": [
      "tangent bundle",
      "natural metric",
      "normal lift",
      "submanifolds",
      "riemannian manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}