EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 38(52), pp. 183--192 (1985)

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ISOTROPIC SECTIONS AND CURVATURE PROPERTIES OF HYPERBOLIC KAEHLERIAN MANIFOLDS

Georgy Ganchev and Adrijan Borisov

Centre for Mathematics and Mechanics, P.O. Box 373 1090 Sofia, Bulgaria

Abstract: In [4,2] curvature properties of pseudo-Riemannian manifolds were investigated with respect to isotropic vectors and isotropic sections. Further, analogous properties have been treated in [1] for Kaehlerian manifolds with an indefinite metric. In this paper we consider hyperbolic Kaehlerian manifolds, and study how the curvature properties of one- and two-dimensional isotropic tangential spaces determine the curvature properties of the manifold.

Classification (MSC2000): 53C15

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
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