{
  "id": "1512.00256",
  "version": "v1",
  "published": "2015-12-01T13:52:00.000Z",
  "updated": "2015-12-01T13:52:00.000Z",
  "title": "On compact manifolds with harmonic curvature and positive scalar curvature",
  "authors": [
    "Hai-Ping Fu"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1408.0902 by other authors",
  "categories": [
    "math.DG"
  ],
  "abstract": "Let $M^n(n\\geq3)$ be an $n$-dimensional compact Riemannian manifold with harmonic curvature and positive scalar curvature. Assume that $M^n$ satisfies some integral pinching conditions. We give some rigidity theorems on compact manifolds with harmonic curvature and positive scalar curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-01T13:52:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive scalar curvature",
      "harmonic curvature",
      "compact manifolds",
      "dimensional compact riemannian manifold",
      "integral pinching conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151200256F"
    }
  }
}