{
  "id": "math/9910187",
  "version": "v1",
  "published": "1999-10-14T00:00:00.000Z",
  "updated": "1999-10-14T00:00:00.000Z",
  "title": "Examples of Riemannian manifolds with positive curvature almost everywhere",
  "authors": [
    "Peter Petersen",
    "Frederick Wilhelm"
  ],
  "comment": "37 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol3/paper14.abs.html",
  "journal": "Geom. Topol. 3 (1999), 331-367",
  "categories": [
    "math.DG"
  ],
  "abstract": "We show that the unit tangent bundle of S^4 and a real cohomology CP^3 admit Riemannian metrics with positive sectional curvature almost everywhere. These are the only examples so far with positive curvature almost everywhere that are not also known to admit positive curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-10-14T00:00:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C20",
      "53C20",
      "58B20",
      "58G30"
    ],
    "keywords": [
      "riemannian manifolds",
      "unit tangent bundle",
      "admit riemannian metrics",
      "admit positive curvature",
      "positive sectional curvature"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}