Restoration of the curvature tensor of almost B-manifold. (English) Zbl 0682.53037
In Riemannian geometry it is well known that the curvature tensor can be determined by the sectional curvatures. In almost Hermitian geometry this problem has been solved by the reviewer using some proper curvatures. In this paper this problem is partially solved for the B-geometry.
Reviewer: G.Stanilov
MSC:
53C15 | General geometric structures on manifolds (almost complex, almost product structures, etc.) |
53B35 | Local differential geometry of Hermitian and Kählerian structures |