Biholomorphic curvature of an almost Hermitian manifold


Mileva Prvanović




In [3], Hsiung, Yang and Friedland obtained the necessary and sufficient condition for an almost Hermitian manifold to be of pointwise constant biholomorphic curvature. In the present paper, in the Section 3, we determine an equivalent condition and derive some consequences. In the Section 4 we investigate the biholomorphic curvature with respect to the tensor (9). In the Section 5, we examine the biholomorphic curvature of an almost Hermitian manifold satisfying the Bianchi-type identity.