{
  "id": "math/0510321",
  "version": "v1",
  "published": "2005-10-15T19:41:24.000Z",
  "updated": "2005-10-15T19:41:24.000Z",
  "title": "Complete surfaces of constant curvature in H2xR and S2xR",
  "authors": [
    "Juan A. Aledo",
    "Jose M. Espinar",
    "Jose A. Galvez"
  ],
  "comment": "17 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We study isometric immersions of surfaces of constant curvature into the homogeneous spaces H2xR and S2xR. In particular, we prove that there exists a unique isometric immersion from the standard 2-sphere of constant curvature c>0 into H2xR and a unique one into S2xR when c>1, up to isometries of the ambient space. Moreover, we show that the hyperbolic plane of constant curvature c<-1 cannot be isometrically immersed into H2xR or S2xR.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-15T19:41:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42",
      "53C40"
    ],
    "keywords": [
      "constant curvature",
      "complete surfaces",
      "study isometric immersions",
      "unique isometric immersion",
      "homogeneous spaces h2xr"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10321A"
    }
  }
}