{
  "id": "0808.1358",
  "version": "v1",
  "published": "2008-08-11T15:17:47.000Z",
  "updated": "2008-08-11T15:17:47.000Z",
  "title": "Comparison results for conjugate and focal points in semi-Riemannian geometry via Maslov index",
  "authors": [
    "Miguel Angel Javaloyes",
    "Paolo Piccione"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove an estimate on the difference of Maslov indices relative to the choice of two distinct reference Lagrangians of a continuous path in the Lagrangian Grassmannian of a symplectic space. We discuss some applications to the study of conjugate and focal points along a geodesic in a semi-Riemannian manifold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-08-11T15:17:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D12",
      "53D25",
      "53C22",
      "53C50"
    ],
    "keywords": [
      "focal points",
      "maslov index",
      "semi-riemannian geometry",
      "comparison results",
      "distinct reference lagrangians"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0808.1358J"
    }
  }
}