{
  "id": "2109.03931",
  "version": "v1",
  "published": "2021-09-08T21:07:41.000Z",
  "updated": "2021-09-08T21:07:41.000Z",
  "title": "Lie derivatives and structure Jacobi operator on real hypersurfaces in complex projective spaces II",
  "authors": [
    "Juan de Dios Pérez",
    "David Pérez-López"
  ],
  "journal": "Differential Geometry and its Applications, Volume 73, 2020, 101685, ISSN 0926-2245",
  "doi": "10.1016/j.difgeo.2020.101685",
  "categories": [
    "math.DG"
  ],
  "abstract": "Let $M$ be a real hypersurface in complex projective space. The almost contact metric structure on $M$ allows us to consider, for any nonnull real number $k$, the corresponding $k$-th generalized Tanaka-Webster connection on $M$ and, associated to it, a differential operator of first order of Lie type. Considering such a differential operator and Lie derivative we define, from the structure Jacobi operator $R_{\\xi}$ on $M$ a tensor field of type (1,2), $R_{{\\xi}_T}^{(k)}$. We obtain some classifications of real hypersurfaces for which $R_{{\\xi}_T}^{(k)}$ is either symmetric or skew symmetric.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-08T21:07:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C15",
      "53B25"
    ],
    "keywords": [
      "structure jacobi operator",
      "complex projective space",
      "real hypersurface",
      "lie derivative",
      "differential operator"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}