NONEXISTENCE OF RICCI-PARALLEL REAL HYPERSURFACES IN P2C OR H2C

Title & Authors
NONEXISTENCE OF RICCI-PARALLEL REAL HYPERSURFACES IN P2C OR H2C
Kim, Un-Kyu;

Abstract
Niebergall and Ryan posed many open problems on real hypersurfaces in complex space forms. One of them is "Are there any Ricci-parallel real hypersurfaces in complex projective space $\small{P_2C}$ or complex hyperbolic space $\small{H_2C}$\ulcorner" The purpose of present paper is to prove the nonexistence of such hypersurfaces.
Keywords
Ricci-parallel hypersurface;real hypersurface;complex space form;
Language
English
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