{
  "id": "1504.03921",
  "version": "v1",
  "published": "2015-04-15T14:10:02.000Z",
  "updated": "2015-04-15T14:10:02.000Z",
  "title": "The co-points are cut points of level sets for Busemann functions",
  "authors": [
    "Sorin V. Sabau"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We show that the corays to a ray in a complete non-compact Finsler manifold contain geodesic segments to level sets of Busemann functions. Moreover, we characterize the set of co-points to a ray as the cut locus of such set levels. The structure theorem of the co-points set on a surface, namely that is a local tree, and other properties follows immediately from the known results about cut locus. We point out that our Main Theorems are new even for Riemannian manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-15T14:10:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "level sets",
      "busemann functions",
      "cut points",
      "complete non-compact finsler manifold contain",
      "non-compact finsler manifold contain geodesic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150403921S"
    }
  }
}