On hopf hypersurfaces in a non-flat complex space form with eta-recurrent ricci tensor

Document Type

Article

Publication Date

1-1-2010

Abstract

Baikoussis, Lyu and Suh [1] showed that a Hopf hypersurface M in a non-flat complex space form M-n(c) with constant mean curvature and with eta-recurrent Ricci tensor is locally congruent to one of real hypersurfaces of type A and B. They also conjectured that the same result can be obtained even without the constancy assumption on the mean curvature (cf. [I, Remark 5.1.]). The purpose of this paper is to answer this question in the affirmative.

Keywords

Complex space form, Hopf hypersurfaces, eta-recurrent Ricci tensor

Publication Title

Kodai Mathematical Journal

Volume

33

Issue

2

Publisher

Kinokuniya Co Ltd

Publisher Location

TOKYO INST TECHNOLOGY, DEPT MATHEMATICS, O-OKAYAMA, MEGURO-KU, TOKYO, 152-8551, JAPAN

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