{
  "id": "1505.06671",
  "version": "v1",
  "published": "2015-05-25T15:52:52.000Z",
  "updated": "2015-05-25T15:52:52.000Z",
  "title": "Singularities of the geodesic flow on surfaces with pseudo-Riemannian metrics",
  "authors": [
    "A. O. Remizov",
    "F. Tari"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We consider a pseudo-Riemannian metric that changes signature along a smooth curve on a surface, called the discriminant curve. The discriminant curve separates the surface locally into a Riemannian and a Lorentzian domain. We study the local behaviour and properties of geodesics at a point on the discriminant where the isotropic direction is tangent to the discriminant curve.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-25T15:52:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C22",
      "53B30",
      "34C05"
    ],
    "keywords": [
      "pseudo-riemannian metric",
      "geodesic flow",
      "singularities",
      "discriminant curve separates",
      "smooth curve"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150506671R"
    }
  }
}