On a curvature tensor of Kähler type in an almost Hermitian and almost para-Hermitian manifold. (English) Zbl 0964.53048

Prvanović, Mileva

Mat. Vesn. 50, No. 1-2, 57-64 (1998).

The author finds a tensor of Kähler type for an almost Hermitian and almost para-Hermitian manifold. It is shown that this tensor is closely related to the study of almost Hermitian and para-Hermitian manifolds with pointwise constant holomorphic sectional curvature.

Reviewer: Stana Nikčević (Beograd)

MSC:

53C55

Global differential geometry of Hermitian and Kählerian manifolds

Keywords:

almost Hermitian manifold; almost para-Hermitian manifold