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.
Abedi, E., & Ilmakchi, M. (2015). Hypersurfaces of a Sasakian space form with recurrent shape operator. Bulletin of the Iranian Mathematical Society, 41(5), 1287-1297.
MLA
E. Abedi; M. Ilmakchi. "Hypersurfaces of a Sasakian space form with recurrent shape operator". Bulletin of the Iranian Mathematical Society, 41, 5, 2015, 1287-1297.
HARVARD
Abedi, E., Ilmakchi, M. (2015). 'Hypersurfaces of a Sasakian space form with recurrent shape operator', Bulletin of the Iranian Mathematical Society, 41(5), pp. 1287-1297.
VANCOUVER
Abedi, E., Ilmakchi, M. Hypersurfaces of a Sasakian space form with recurrent shape operator. Bulletin of the Iranian Mathematical Society, 2015; 41(5): 1287-1297.
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