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http://dx.doi.org/10.4134/BKMS.2004.41.4.699

NONEXISTENCE OF RICCI-PARALLEL REAL HYPERSURFACES IN P2C OR H2C  

Kim, Un-Kyu (Department of Mathematics Education, College of Education, Sungkyunkwan University)
Publication Information
Bulletin of the Korean Mathematical Society / v.41, no.4, 2004 , pp. 699-708 More about this Journal
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 $P_2C$ or complex hyperbolic space $H_2C$\ulcorner" The purpose of present paper is to prove the nonexistence of such hypersurfaces.
Keywords
Ricci-parallel hypersurface; real hypersurface; complex space form;
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