{
  "id": "math/0106262",
  "version": "v1",
  "published": "2001-06-29T08:41:38.000Z",
  "updated": "2001-06-29T08:41:38.000Z",
  "title": "Rational homotopy theory and nonnegative curvature",
  "authors": [
    "Jianzhong Pan"
  ],
  "comment": "7 pages, talk to be given at SISTAG, National Univ. of Singapore, Jul.2-6, 2001",
  "categories": [
    "math.AT",
    "math.DG"
  ],
  "abstract": "In this note, we answer positively a question by Belegradek and Kapovitch about the relation between rational homotopy theory and a problem in Riemannian geometry which asks that total spaces of which vector bundles over compact nonnegative curved manifolds admit (complete) metrics with nonnegative curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-06-29T08:41:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C20",
      "53C40",
      "55P10"
    ],
    "keywords": [
      "rational homotopy theory",
      "nonnegative curvature",
      "compact nonnegative curved manifolds admit",
      "vector bundles",
      "riemannian geometry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......6262P"
    }
  }
}