{
  "id": "1104.5252",
  "version": "v3",
  "published": "2011-04-27T21:28:58.000Z",
  "updated": "2012-01-03T00:23:31.000Z",
  "title": "Flats and Submersions in Non-Negative Curvature",
  "authors": [
    "Curtis Pro",
    "Frederick Wilhelm"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We find constraints on the extent to which O'Neill's horizontal curvature equation can be used to create positive curvature on the base space of a Riemannian submersion. In particular, we study when K. Tapp's theorem on Riemannian submersions of compact Lie groups with bi-invariant metrics generalizes to arbitrary manifolds of non-negative curvature.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-01-03T00:23:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C20"
    ],
    "keywords": [
      "non-negative curvature",
      "oneills horizontal curvature equation",
      "riemannian submersion",
      "compact lie groups",
      "bi-invariant metrics generalizes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.5252P"
    }
  }
}