On an invariant tensor of a conformal transformation of a hyperbolic Kaehlerian manifold. (English) Zbl 0707.53023
Following the idea and the method of K. Yano [Kodai Math. J. 26, 137-151 (1975; Zbl 0302.53013)] the author constructs the so-called conformal connection on a hyperbolic Kaehlerian manifold. The corresponding Bochner curvature tensor and its algebraic properties are also obtained.
Reviewer: A.V.Borisov
MSC:
53B35 | Local differential geometry of Hermitian and Kählerian structures |