{
  "id": "math/0701678",
  "version": "v2",
  "published": "2007-01-24T19:32:58.000Z",
  "updated": "2007-01-28T02:35:17.000Z",
  "title": "A second order smooth variational principle on Riemannian manifolds",
  "authors": [
    "Daniel Azagra",
    "Robb Fry"
  ],
  "comment": "16 pages, second version of the paper (a minor mistake in the proof of the first version has been corrected, and an estimation improved)",
  "categories": [
    "math.DG",
    "math.FA"
  ],
  "abstract": "We establish a second order smooth variational principle valid for functions defined on (possibly infinite-dimensional) Riemannian manifolds which are uniformly locally convex and have a strictly positive injectivity radius and bounded sectional curvature.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-01-28T02:35:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58E30",
      "49J52",
      "46T05",
      "47J30",
      "58B20"
    ],
    "keywords": [
      "second order smooth variational principle",
      "riemannian manifolds",
      "order smooth variational principle valid",
      "strictly positive injectivity radius"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1678A"
    }
  }
}