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On quarter-symmetric metric connections. (English) Zbl 0643.53018
The quarter-symmetric connections on manifolds with affine connection have been defined and studied by {\it S. Golab} [Tensor, New. Ser. 29, 249-254 (1975; Zbl 0308.53010)]. The most general form of these connections has been determined by {\it K. Yano} and {\it 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

53B15Other connections
53B35Hermitian and Kählerian structures (local differential geometry)