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
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
Journal title :
Bulletin of the Iranian Mathematical Society