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We know the fact that there are no real hypersurfaces with parallel Ricci tensors in a nonflat complex space form (cf. [5]). In this paper we investigate real hypersurfaces in a nonflat complex space form using some conditions of the Ricci tensor S which are weaker than ∇ S=0. We characterize Hopf hypersurfaces of a nonflat complex space form.
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Ki et al. (2005) studied this question.
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