Abstract

We consider a hyperbolic Kaehlerian space with vanishing conformal invariant. We prove a theorem which is fully analogous to results for Riemannian and Kaehlerian spaces with vanishing conformal invariants. Also, we prove two theorems which are valid in some special cases.

Keywords: Almost constant curvature, total holomorphic sectional curvature, cross sectional curvature, separated basis.

MSC: 53A30

Pages:  35--44     

Volume  49 ,  Issue  1 ,  1997