{
  "id": "math/0509442",
  "version": "v2",
  "published": "2005-09-20T01:45:50.000Z",
  "updated": "2005-09-23T14:35:52.000Z",
  "title": "On the twistor space of pseudo-spheres",
  "authors": [
    "R. Albuquerque",
    "Isabel M. C. Salavessa"
  ],
  "comment": "Added the MSC's hoping Arxiv will \"run\" a better distribuition through Subj-class's. The article has 20 pages",
  "journal": "Differential Geometry and its Applications, 25 (2007), pp. 207-219",
  "doi": "10.1016/j.difgeo.2006.08.004",
  "categories": [
    "math.DG",
    "math.CV"
  ],
  "abstract": "We give a new proof that the sphere S^6 does not admit an integrable orthogonal complex structure, as in \\cite{LeBrun}, following the methods from twistor theory. We present the twistor space of a pseudo-sphere S^{2n}_{2q}=SO_{2p+1,2q}/SO_{2p,2q} as a pseudo-K\\\"ahler symmetric space. We then consider orthogonal complex structures on the pseudo-sphere, only to prove such a structure cannot exist.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-09-23T14:35:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32H02",
      "32L25",
      "53B30",
      "53B35",
      "32C15",
      "53C28",
      "32Q10",
      "32Q15"
    ],
    "keywords": [
      "twistor space",
      "pseudo-sphere",
      "integrable orthogonal complex structure",
      "twistor theory",
      "symmetric space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9442A"
    }
  }
}