Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
On Hopf hypersurfaces in a non-flat complex space form with η-recurrent Ricci tensor
Song-How KonTee-How Loo
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2010 年 33 巻 2 号 p. 240-250

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Baikoussis, Lyu and Suh [1] showed that a Hopf hypersurface M in a non-flat complex space form Mn(c) with constant mean curvature and with η-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. [1, Remark 5.1.]). The purpose of this paper is to answer this question in the affirmative.
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© 2010 Department of Mathematics, Tokyo Institute of Technology
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