Proceedings of the International Conference on Geometry, Integrability and Quantization

Riemannian Curvatures of the Four Basic Classes of Real Hypersurfaces of a Complex Space Form

Georgi Ganchev and Milen Hristov

Abstract

Any real hypersurface of a Kähler manifold carries a natural almost contact metric structure. There are four basic classes of real hypersurfaces of a Kähler manifold with respect to the induced almost contact metric structure. In this paper we study the basic classes of real hypersurfaces of a complex space form in terms of their Riemannian curvatures.

Article information

Source
Proceedings of the Third International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Gregory L. Naber, eds. (Sofia: Coral Press Scientific Publishing, 2002), 238-248

Dates
First available in Project Euclid: 12 June 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1434145471

Digital Object Identifier
doi:10.7546/giq-3-2002-238-248

Mathematical Reviews number (MathSciNet)
MR1884849

Zentralblatt MATH identifier
1022.53021

Citation

Ganchev, Georgi; Hristov, Milen. Riemannian Curvatures of the Four Basic Classes of Real Hypersurfaces of a Complex Space Form. Proceedings of the Third International Conference on Geometry, Integrability and Quantization, 238--248, Coral Press Scientific Publishing, Sofia, Bulgaria, 2002. doi:10.7546/giq-3-2002-238-248. https://projecteuclid.org/euclid.pgiq/1434145471


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