{
  "id": "1304.2937",
  "version": "v1",
  "published": "2013-04-10T12:38:11.000Z",
  "updated": "2013-04-10T12:38:11.000Z",
  "title": "A compactness theorem in Finsler geometry",
  "authors": [
    "Mihai Anastasiei",
    "Ioan Radu Peter"
  ],
  "comment": "12 pages, no figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "Let (M.F) be a complete Finsler manifold and P be a minimal and compact submanifold of M. Ric_k(x), x in M is a differential invariant that interpolates between the flag curvature and the Ricci curvature. We prove that if on any geodesic c(t) emanating orthogonally from P we have \\int_{0}^{\\infty}\\mathbf{Ric}_{k}(t)>0, then M is compact.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-10T12:38:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C60"
    ],
    "keywords": [
      "finsler geometry",
      "compactness theorem",
      "complete finsler manifold",
      "flag curvature",
      "ricci curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.2937A"
    }
  }
}