{
  "id": "math/0110251",
  "version": "v1",
  "published": "2001-10-23T08:12:04.000Z",
  "updated": "2001-10-23T08:12:04.000Z",
  "title": "Minimal Lagrangian submanifolds in the complex hyperbolic space",
  "authors": [
    "I. Castro",
    "C. R. Montealegre",
    "F. Urbano"
  ],
  "comment": "28 pages. To appear in Illinois J. Math",
  "journal": "Illinois Journal of Mathematics, 46 (2002), 695-721",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we construct new examples of minimal Lagrangian submanifolds in the complex hyperbolic space with large symmetry groups, obtaining three 1-parameter families with cohomegeneity one. We characterize them as the only minimal Lagrangian submanifolds in CH^n foliated by umbilical hypersurfaces of Lagrangian subspaces RH^n of CH^n. Several suitable generalizations of the above construction allow us to get new families of minimal Lagrangian submanifolds in CH^n from curves in CH^1 and (n-1)-dimensional minimal Lagrangian submanifolds of the complex space forms CP^n-1, CH^n-1 and C^n-1. Similar constructions are made in the complex projective space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-10-23T08:12:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42"
    ],
    "keywords": [
      "minimal lagrangian submanifolds",
      "complex hyperbolic space",
      "complex space forms",
      "large symmetry groups",
      "complex projective space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....10251C"
    }
  }
}