{
  "id": "0810.4524",
  "version": "v2",
  "published": "2008-10-24T18:56:44.000Z",
  "updated": "2012-03-09T15:09:22.000Z",
  "title": "Some new examples with almost positive curvature",
  "authors": [
    "Martin Kerin"
  ],
  "comment": "43 pages, updated title and abstract, main result and exposition improved",
  "journal": "Geometry & Topology 15 (2011) 217-260",
  "doi": "10.2140/gt.2011.15.217",
  "categories": [
    "math.DG"
  ],
  "abstract": "As a means to better understanding manifolds with positive curvature, there has been much recent interest in the study of non-negatively curved manifolds which contain points at which all 2-planes have positive curvature. We show that there are generalisations of the well-known Eschenburg spaces and quotients of $\\sph^7 \\x \\sph^7$ which admit metrics with this property.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-09T15:09:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C20",
      "57S25",
      "57T15"
    ],
    "keywords": [
      "positive curvature",
      "well-known eschenburg spaces",
      "better understanding manifolds",
      "contain points",
      "admit metrics"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.4524K"
    }
  }
}