The property of real hypersurfaces in 2-dimensional complex space form with Ricci operator

Authors: DONG HO LIM, WOON HA SOHN, SEONG SOO AHN

Abstract: Let M be a real hypersurface in a complex space form M_2(c), c \neq 0. In this paper, we prove that S \phi=\phi S on M if and only if M is pseudo-Einstein.

Keywords: Real hypersurface, Ricci operator, Hopf hypersurface, Pseudo-Einstein hypersurface

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