A characterization of totally -umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form
Mayuko Kon (2008)
Czechoslovak Mathematical Journal
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We give a characterization of totally -umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form in terms of totally umbilical condition for the holomorphic distribution on real hypersurfaces. We prove that if the shape operator of a real hypersurface of a complex space form , , , satisfies for any , being a function, where is the holomorphic distribution on , then is a totally -umbilical real hypersurface or locally congruent to a ruled real...