{
  "id": "1504.02747",
  "version": "v1",
  "published": "2015-04-10T17:47:23.000Z",
  "updated": "2015-04-10T17:47:23.000Z",
  "title": "Torsional Rigidity on Compact Riemannian Manifolds with lower Ricci Curvature Bounds",
  "authors": [
    "Najoua Gamara",
    "Abdelhalim Hasnaoui",
    "Akrem Makni"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In this article we prove a reverse H\\\"older inequality for the fundamental eigenfunction of the Dirichlet problem on domains of a compact Riemannian manifold with lower Ricci curvature bounds. We also prove an isoperimetric inequality for the torsional ridigity of such domains.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-10T17:47:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35P15",
      "60J65",
      "53C21",
      "58J60"
    ],
    "keywords": [
      "lower ricci curvature bounds",
      "compact riemannian manifold",
      "torsional rigidity",
      "dirichlet problem",
      "fundamental eigenfunction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150402747G"
    }
  }
}