• Title of article

    Hypersurfaces of a Sasakian space form with recurrent shape operator

  • Author/Authors

    Abedi، Esmaiel نويسنده Department of‎ ‎Mathematics‎, ‎Azarbaijan Shahid Madani University‎ , , Ilmakchi، Mohammad نويسنده Department of‎ ‎Mathematics‎, ‎Azarbaijan Shahid Madani University ,

  • Issue Information
    دوماهنامه با شماره پیاپی 0 سال 2015
  • Pages
    11
  • From page
    1287
  • To page
    1297
  • Abstract
    ‎Let $(M^{2n},g)$ be a real hypersurface with recurrent shape‎ ‎operator and tangent to the structure vector field $\xi$ of the Sasakian space form‎ ‎$\widetilde{M}(c)$‎. ‎We show that if the shape operator $A$ of $M$ is‎ ‎recurrent then it is parallel‎. ‎Moreover‎, ‎we show that $M$‎ ‎is locally a product of two constant $\phi-$sectional curvature‎ ‎spaces‎.
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Serial Year
    2015
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Record number

    2389260