%0 Journal Article
%T Hypersurfaces of a Sasakian space form with recurrent shape operator
%J Bulletin of the Iranian Mathematical Society
%I Springer and the Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Abedi, E.
%A Ilmakchi, M.
%D 2015
%\ 10/01/2015
%V 41
%N 5
%P 1287-1297
%! Hypersurfaces of a Sasakian space form with recurrent shape operator
%K Recurrent hypersurfaces
%K Sasakian manifold
%R
%X Let $(M^{2n},g)$ be a real hypersurface with recurrent shapeoperator 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 $M$ isrecurrent then it is parallel. Moreover, we show that $M$is locally a product of two constant $phi-$sectional curvaturespaces.
%U http://bims.iranjournals.ir/article_691_bc7b646fa536b7aef990872004888cf1.pdf