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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Real hypersurfaces of $CP^n$
with non-negative Ricci curvature


Authors: Aurel Bejancu and Sharief Deshmukh
Journal: Proc. Amer. Math. Soc. 124 (1996), 269-274
MSC (1991): Primary 53C40, 53C55; Secondary 53C12, 53C42, 53C16
MathSciNet review: 1277096
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Abstract: We prove the non-existence of Levi flat compact real hypersurfaces without boundary in $CP^n,n>1$, with non-negative totally real Ricci curvature.


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Additional Information

Aurel Bejancu
Affiliation: Department of Mathematics, Technical University, GH. Asachi, Iasi, C.P. 17, IASI 1, 6600 Iasi, Romania
Email: relu@uaic.ro

Sharief Deshmukh
Affiliation: Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

DOI: http://dx.doi.org/10.1090/S0002-9939-96-02886-9
PII: S 0002-9939(96)02886-9
Keywords: Real hypersurface, CR-submanifold, complex projective space, Levi flat, totally real Ricci curvature, holomorphic distribution
Received by editor(s): October 12, 1993
Received by editor(s) in revised form: July 19, 1994
Communicated by: Christopher B. Croke
Article copyright: © Copyright 1996 American Mathematical Society