{
  "id": "1106.2962",
  "version": "v2",
  "published": "2011-06-15T12:54:51.000Z",
  "updated": "2012-02-19T16:32:28.000Z",
  "title": "Isometric and CR pluriharmonic immersions of three dimensional CR manifolds in Euclidean spaces",
  "authors": [
    "Andrea Altomani",
    "Marie-Amélie Lawn"
  ],
  "comment": "24 pages; v2: final accepted version",
  "categories": [
    "math.DG",
    "math.CV"
  ],
  "abstract": "Using a bigraded differential complex depending on the CR and pseudohermitian structure, we give a characterization of three-dimensional strongly pseudoconvex pseudo-hermitian CR-manifolds isometrically immersed in Euclidean space $\\mathbb{R}^n$ in terms of an integral representation of Weierstrass type. Restricting to the case of immersions in $\\mathbb{R}^4$, we study harmonicity conditions for such immersions and give a complete classification of CR-pluriharmonic immersions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-19T16:32:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42",
      "53A07",
      "32V10",
      "53D10"
    ],
    "keywords": [
      "cr pluriharmonic immersions",
      "dimensional cr manifolds",
      "euclidean space",
      "strongly pseudoconvex pseudo-hermitian cr-manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.2962A"
    }
  }
}