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

Ganchev, Georgi; Hristov, Milen

doi:10.7546/giq-3-2002-238-248

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VOL. 3 | 2002 Riemannian Curvatures of the Four Basic Classes of Real Hypersurfaces of a Complex Space Form

Georgi Ganchev, Milen Hristov

Editor(s) Ivaïlo M. Mladenov, Gregory L. Naber

Geometry, Integrability and Quantization, 2002: 238-248 (2002) https://doi.org/10.7546/giq-3-2002-238-248

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.