On quarter-symmetric metric connections. (English) Zbl 0643.53018

Rastogi, S. C.

Tensor, New Ser. 44, No. 2, 133-141 (1987).

The quarter-symmetric connections on manifolds with affine connection have been defined and studied by S. Golab [Tensor, New. Ser. 29, 249-254 (1975; Zbl 0308.53010)]. The most general form of these connections has been determined by K. Yano and T. Imai [ibid. 38, 13-18 (1982; Zbl 0504.53014)]. The author studies some particular quarter-symmetric metric connections on a Kähler manifold and establishes results related with the curvature tensor and the Bochner curvature tensor.

Reviewer: Gh.Pitiş

MSC:

53B15	Other connections
53B35	Local differential geometry of Hermitian and Kählerian structures

Keywords:

quarter-symmetric metric connections; Kähler manifold

Citations:

Zbl 0308.53010; Zbl 0504.53014