{
  "id": "math/0504124",
  "version": "v3",
  "published": "2005-04-07T05:23:20.000Z",
  "updated": "2005-10-20T06:39:20.000Z",
  "title": "Surfaces and fronts with harmonic-mean curvature one in hyperbolic three-space",
  "authors": [
    "Masatoshi Kokubu"
  ],
  "comment": "20 pages, 9 figures; Section 3 revised",
  "categories": [
    "math.DG"
  ],
  "abstract": "We investigate surfaces with constant harmonic-mean curvature one (HMC-1 surfaces) in hyperbolic three-space. We allow them to have certain kinds of singularities, and discuss some global properties. As well as flat surfaces and surfaces with constant mean curvature one (CMC-1 surfaces), HMC-1 surfaces belong to a certain class of Weingarten surfaces. From the viewpoint of parallel surfaces, CMC-1 surfaces and HMC-1 surfaces are representative among this class.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-10-20T06:39:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperbolic three-space",
      "constant harmonic-mean curvature",
      "constant mean curvature",
      "parallel surfaces",
      "weingarten surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4124K"
    }
  }
}