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Real hypersurfaces of with non-negative Ricci curvature
Authors:Aurel Bejancu   Sharief Deshmukh
Affiliation:Department of Mathematics, Technical University, GH. Asachi, Iasi, C.P. 17, IASI 1, 6600 Iasi, Romania ; Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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.

Keywords:Real hypersurface   CR-submanifold   complex projective space   Levi flat   totally real Ricci curvature   holomorphic distribution
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