{
  "id": "0807.1606",
  "version": "v4",
  "published": "2008-07-10T09:39:41.000Z",
  "updated": "2017-07-24T03:16:58.000Z",
  "title": "Homogeneity of proper complex equifocal submanifolds",
  "authors": [
    "Naoyuki Koike"
  ],
  "comment": "I found many misses in this paper",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we show that an irreducible proper complex equifocal submanifold of codimension greater than one in a symmetric space of non-compact type. The proof is performed by showing the homogeneity of the lift of the complexification of the original submanifold to some infinite dimensional anti-Kahelerian space.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-12-28T10:11:16.000Z",
      "comment": "35pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2017-07-24T03:16:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C40"
    ],
    "keywords": [
      "homogeneity",
      "infinite dimensional anti-kahelerian space",
      "irreducible proper complex equifocal submanifold",
      "codimension greater",
      "symmetric space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.1606K"
    }
  }
}