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

Kon, Song-How and Loo, Tee-How (2010) On hopf hypersurfaces in a non-flat complex space form with eta-recurrent ricci tensor. Kodai Mathematical Journal, 33 (2). pp. 240-250.

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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.

Item Type: Article
Funders: UNSPECIFIED
Uncontrolled Keywords: Complex space form; Hopf hypersurfaces; eta-recurrent Ricci tensor
Subjects: Q Science > Q Science (General)
Depositing User: Dr Mohd Faizal Hamzah
Date Deposited: 06 Oct 2015 02:49
Last Modified: 06 Oct 2015 02:49
URI: http://eprints.um.edu.my/id/eprint/14166

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