{
  "id": "2208.11897",
  "version": "v1",
  "published": "2022-08-25T07:01:40.000Z",
  "updated": "2022-08-25T07:01:40.000Z",
  "title": "New characterizations of ruled real hypersurfaces in complex projective space",
  "authors": [
    "Juan de Dios Pérez",
    "David Pérez-López"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We consider real hypersurfaces $M$ in complex projective space equipped with both the Levi-Civita and generalized Tanaka-Webster connections. For any nonnull constant $k$ and any symmetric tensor field of type (1,1) $L$ on $M$ we can define two tensor fields of type (1,2) on $M$, $L_F^{(k)}$ and $L_T^{(k)}$, related to both connections. We study the behaviour of the structure operator $\\phi$ with respect to such tensor fields in the particular case of $L=A$, the shape operator of $M$, and obtain some new characterizations of ruled real hypersurfaces in complex projective space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-25T07:01:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C15",
      "53B25"
    ],
    "keywords": [
      "complex projective space",
      "ruled real hypersurfaces",
      "characterizations",
      "symmetric tensor field",
      "shape operator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}