Real hypersurfaces in a nonflat complex space form whose ⁎-Ricci tensor is [formula omitted]-recurrent

Abstract

In this paper, we give a classification of real hypersurfaces M2n−1 in a nonflat complex space form M˜n(c)(n≧2) whose ⁎-Ricci tensor is D-recurrent. By virtue of this result, we also know a classification of real hypersurfaces in a nonflat complex space form whose ⁎-Ricci tensor is D-parallel.