{
  "id": "1507.03785",
  "version": "v1",
  "published": "2015-07-14T09:41:10.000Z",
  "updated": "2015-07-14T09:41:10.000Z",
  "title": "Convergence of Finslerian metrics under Ricci flow",
  "authors": [
    "M. Yar Ahmadi",
    "B. Bidabad"
  ],
  "comment": "Accepted for Publication in Science China Mathematics (2015)",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this work, convergence of evolving Finslerian metrics first in a general flow next under Finslerian Ricci flow is studied. More intuitively it is proved that a family of Finslerian metrics $g(t)$ which are solutions to the Finslerian Ricci flow converge in $C^{\\infty}$ to a smooth limit Finslerian metric as $ t $ approaches the finite time $ T $. As a consequence of this result one can show that in a compact Finsler manifold the curvature tensor along Ricci flow blows up in short time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-14T09:41:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C60",
      "53C44"
    ],
    "keywords": [
      "convergence",
      "finslerian ricci flow converge",
      "smooth limit finslerian metric",
      "evolving finslerian metrics first",
      "ricci flow blows"
    ],
    "publication": {
      "doi": "10.1007/s11425-015-5092-3",
      "journal": "Science in China A: Mathematics",
      "year": 2016,
      "month": "Apr",
      "volume": 59,
      "number": 4,
      "pages": 741
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016ScChA..59..741Y"
    }
  }
}