{
  "id": "1602.01429",
  "version": "v1",
  "published": "2016-02-03T19:46:17.000Z",
  "updated": "2016-02-03T19:46:17.000Z",
  "title": "On Closed Manifolds with Harmonic Weyl",
  "authors": [
    "Hung Tran"
  ],
  "comment": "27 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We derive point-wise and integral rigidity/gap results for a closed manifold with harmonic Weyl curvature in any dimension. In particular, there is a generalization of Tachibana's theorem for non-negative curvature operator. The key ingredients are new Bochner-Weitzenb\\\"ock-Lichnerowicz type formulas for the Weyl tensor, which are generalizations of identities in dimension four.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-03T19:46:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C21",
      "53C24"
    ],
    "keywords": [
      "closed manifold",
      "integral rigidity/gap results",
      "harmonic weyl curvature",
      "weyl tensor",
      "generalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160201429T"
    }
  }
}