{
  "id": "math/0303307",
  "version": "v1",
  "published": "2003-03-25T10:50:11.000Z",
  "updated": "2003-03-25T10:50:11.000Z",
  "title": "Flux for Bryant surfaces and applications to embedded ends of finite total curvature",
  "authors": [
    "Benoit Daniel"
  ],
  "comment": "31 pages, 1 figure, submitted to Illinois Journal of Mathematics",
  "journal": "Illinois J. Math. 47 (3), 2003, 667-698",
  "categories": [
    "math.DG"
  ],
  "abstract": "We compute the flux of Killing fields through ends of constant mean curvature 1 in hyperbolic space, and we prove a result conjectured by Rossman, Umehara and Yamada : the flux matrix they have defined is equivalent to the flux of Killing fields. We next give a geometric description of embedded ends of finite total curvature. In particular, we show that we can define an axis for these ends that are asymptotic to a catenoid cousin. We also compute the flux of Killing fields through these ends, and we deduce some geometric properties and some analogies with minimal surfaces in Euclidean space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-03-25T10:50:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A10",
      "53A35",
      "53C42",
      "30F45"
    ],
    "keywords": [
      "finite total curvature",
      "embedded ends",
      "bryant surfaces",
      "killing fields",
      "applications"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......3307D"
    }
  }
}