Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

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

Author(s): Aurel Bejancu; Sharief Deshmukh
Journal: Proc. Amer. Math. Soc. 124 (1996), 269-274.
MSC (1991): Primary 53C40, 53C55; Secondary 53C12, 53C42, 53C16
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

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.

References:

1: A Bejancu, Geometry of CR-submanifolds, Reidel, Dordrecht, 1986.
2: D. E. Blair, Contact manifolds in Riemannian geometry, Lecture Notes in Math., vol. 509, Springer-Verlag, Berlin, 1976. MR 57:7444
3: A. Boggess, CR manifolds and the tangential Cauchy-Riemann complex, CRC Press, Boca Raton, FL, 1991.
4: S. Kobayashi and K. Nomizu, Foundations of differential geometry, II Interscience, New York, 1969. MR 38:6501
5: Y. Maeda, On real hypersurfaces of a complex projective space J. Math. Soc. Japan 28 (1976), 529--540. MR 53:11543
6: M. Okumura, On some real hypersurfaces of a complex projective space, Trans. Amer. Math. Soc. 212 (1975), 355--364. MR 51:13956
7: K. Yano, Integral formulas in Riemannian geometry, Dekker, New York, 1970. MR 44:2174

Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 53C40, 53C55, 53C12, 53C42, 53C16

Retrieve articles in all Journals with MSC (1991): 53C40, 53C55, 53C12, 53C42, 53C16

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: 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
Copyright of article: Copyright 1996, American Mathematical Society


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS