Characterizations of real hypersurfaces of complex space forms in terms of Ricci operators
Bull. Korean Math. Soc. 2007 Vol. 44, No. 1, 195-202
Printed March 1, 2007
Woon Ha Sohn
Hankuk University of Foreign Studies
Abstract : We prove that a real hypersurface $M$ in a complex space form $M_n(c)$, $c \neq 0$, whose Ricci operator and structure tensor commute each other on the holomorphic distribution and the Ricci operator is $\eta$-parallel, is a Hopf hypersurface. We also give a characterization of this hypersurface.
Keywords : real hypersurfaces in complex space forms, Hopf hypersurfaces, model spaces of type A or B
MSC numbers : Primary 53C40; Secondary 53C15
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