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

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

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