Isotropic Sections and Curvature Properties of Hyperbolic Kaehlerian Manifolds


Georgy Ganchev, Adrijan Borisov


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.