{
  "id": "math/0603610",
  "version": "v1",
  "published": "2006-03-27T08:45:37.000Z",
  "updated": "2006-03-27T08:45:37.000Z",
  "title": "A variational approach to the regularity of minimal surfaces of annulus type in Riemannian manifolds",
  "authors": [
    "Hwajeong Kim"
  ],
  "comment": "22 pages. to appear in Differ. Geom. Appl",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "Given two Jordan curves in a Riemannian manifold, a minimal surface of annulus type bounded by these curves is described as the harmonic extension of a critical point of some functional (the Dirichlet integral) in a certain space of boundary parametrizations. The $H^{2,2}$-regularity of the minimal surface of annulus type will be proved by applying the critical points theory and Morrey's growth condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-27T08:45:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49Q05",
      "58E05"
    ],
    "keywords": [
      "minimal surface",
      "annulus type",
      "riemannian manifold",
      "variational approach",
      "regularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3610K"
    }
  }
}