{
  "id": "2205.13739",
  "version": "v1",
  "published": "2022-05-27T03:07:50.000Z",
  "updated": "2022-05-27T03:07:50.000Z",
  "title": "Curvature estimates for hypersurfaces of constant curvature in hyperbolic space",
  "authors": [
    "Bin Wang"
  ],
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "In this note we derive a curvature estimate that enables us to prove an existence theorem for hypersurfaces of constant curvature in hyperbolic space, which partially extends a result of Guan-Spruck in arXiv:0810.1781v2 [math.DG].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-27T03:07:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C21",
      "35J65",
      "58J32"
    ],
    "keywords": [
      "constant curvature",
      "hyperbolic space",
      "curvature estimate",
      "hypersurfaces",
      "existence theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}