{
  "id": "1012.2265",
  "version": "v2",
  "published": "2010-12-10T13:48:43.000Z",
  "updated": "2012-03-23T14:19:36.000Z",
  "title": "Concavity and rigidity in non-negative curvature",
  "authors": [
    "Luigi Verdiani",
    "Wolfgang Ziller"
  ],
  "journal": "J. Diff. Geom. 97 (2014) , 349-375",
  "categories": [
    "math.DG"
  ],
  "abstract": "This is a significantly improved version with new applications. We show that there are many cohomogeneity one manifolds which do not admit an analytic invariant metric with non-negative sectional curvature, although they do have a smooth one. In particular, there are no invariant metric with positive curvature.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-23T14:19:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C20",
      "53C20",
      "58D19"
    ],
    "keywords": [
      "non-negative curvature",
      "analytic invariant metric",
      "non-negative sectional curvature",
      "cohomogeneity",
      "applications"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.2265V"
    }
  }
}