Kragujevac J. Math. 28

Kragujevac J. Math. 28 - 7

Kragujevac J. Math. 28 (2005) 97-111.

HOLOMORPHICALLY PROJECTIVE CURVATURE TENSORS

Mileva Prvanovic

Mathematical Institute SANU, Knez Mihaila 35, 11001 Belgrade
P. O. Box 367, Serbia and Montenegro

Abstract. We examine the geodesic mapping of an almost Hermitian (almost para-Hermitian) manifold using the holomorphic curvature tensor and show that, if such manifold allows the geodesic mapping, then, besides the classical projective curvature tensor, there are two more invariant tensors.