Abstract
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.
Citation
Song-How Kon. Tee-How Loo. "On Hopf hypersurfaces in a non-flat complex space form with η-recurrent Ricci tensor." Kodai Math. J. 33 (2) 240 - 250, June 2010. https://doi.org/10.2996/kmj/1278076340
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