{
  "id": "1009.2695",
  "version": "v1",
  "published": "2010-09-14T15:26:45.000Z",
  "updated": "2010-09-14T15:26:45.000Z",
  "title": "Sur le théorème de F. Schur pour une variété presque hermitienne",
  "authors": [
    "Ognian Kassabov"
  ],
  "comment": "3 pages, MR 84c:53022",
  "journal": "C. R. Acad. Bulg. Sci., 35, no. 7, 1982, 905-907",
  "categories": [
    "math.DG"
  ],
  "abstract": "Let M be an almost Hermitian manifold of dimension greater or equal to 6. The following theorems are proved: Theorem 1. If M is of pointwise constant {\\theta}-holomorphic sectional curvature for a number {\\theta} in (0,{\\pi}/2) then M is of constant sectional curvature or a K\\\"ahler manifold of constant holomorphic sectional curvature. Theorem 2. If M is of pointwise constant antiholomorphic sectional curvature and M is an RK-manifold (or AH3-manifold), then M is of constant antiholomorphic sectional curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-14T15:26:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53B35"
    ],
    "keywords": [
      "presque hermitienne",
      "schur pour",
      "pointwise constant antiholomorphic sectional curvature",
      "constant holomorphic sectional curvature",
      "constant sectional curvature"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.2695K"
    }
  }
}