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NONEXISTENCE OF RICCI-PARALLEL REAL HYPERSURFACES IN P2C OR H2C
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 Title & Authors
NONEXISTENCE OF RICCI-PARALLEL REAL HYPERSURFACES IN P2C OR H2C
Kim, Un-Kyu;
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 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 or complex hyperbolic space \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
 Cited by
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1.
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2.
CERTAIN RESULTS OF REAL HYPERSURFACES IN A COMPLEX SPACE FORM, Glasgow Mathematical Journal, 2012, 54, 01, 1  crossref(new windwow)
3.
Ricci solitons of compact real hypersurfaces in Kähler manifolds, Mathematische Nachrichten, 2011, 284, 11-12, 1385  crossref(new windwow)
4.
CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE A IN A COMPLEX SPACE FORM USED BY THE ζ-PARALLEL STRUCTURE JACOBI OPERATOR, Honam Mathematical Journal, 2008, 30, 3, 535  crossref(new windwow)
 References
1.
D. E. Blair, Contact manifolds in Riemannian Geometry, Lecture Notes in Math. 509, Springer-Verlag, Berlin. Heidelberg.New York, 1976

2.
R. Niebergall and P. J. Ryan, Real hypersurfaces in complex space forms, 233–305 in Tight and Taut Submanifolds, edited by T. E. Cecil et al., MSRI Publications, Cambridge., 1997

3.
Un Kyu Kim, Some problems on 3-dimensional real hypersurfaces in complex space forms, Commun. Korean Math. Soc. 16 (2001), no. 2, 253–263