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
Link To Document :
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