{
  "id": "1106.2758",
  "version": "v1",
  "published": "2011-06-14T16:31:28.000Z",
  "updated": "2011-06-14T16:31:28.000Z",
  "title": "On a Class of Special Riemannian Manifolds",
  "authors": [
    "Dimitar Razpopov"
  ],
  "comment": "4 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We consider a four dimensional Riemannian manifold M with a metric g and an affinor structure q. We note the local coordinates of g and q are circulant matrices. Their first orders are (A, B, C, B)(A, B, C are smooth functions on M) and (0, 1, 0, 0), respectively. Let nabla be the connection of g. Then we obtain: 1) q^{4}=id; g(qx, qy)=g(x,y), x, y are arbitrary vector fields on M, 2) nabla q =0 if and only if grad A=(grad C)q^{2}; 2.grad B= (grad C)(q+q^{3}),",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-14T16:31:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C15",
      "53B20"
    ],
    "keywords": [
      "special riemannian manifolds",
      "dimensional riemannian manifold",
      "arbitrary vector fields",
      "affinor structure",
      "local coordinates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.2758R"
    }
  }
}