Canad. Math. Bull. 55(2012), 114-126
Printed: Mar 2012
In this paper we study real hypersurfaces in a non-flat complex space form with $\eta$-parallel shape operator. Several partial characterizations of these real hypersurfaces are obtained.
complex space form, Hopf hypersurfaces, ruled real hypersurfaces, $\eta$-parallel shape operator
53C40 - Global submanifolds [See also 53B25]
53C15 - General geometric structures on manifolds (almost complex, almost product structures, etc.)