Canonical connection on a class of Riemannian almost product manifolds. (Canonical connection on a class of Reimannian almost product manifolds.) (English) Zbl 1243.53011

Summary: The canonical connection on a Riemannian almost product manifold is an analogue to the Hermitian connection on an almost Hermitian manifold. In this paper we consider the canonical connection on a class of Riemannian almost product manifolds with non-integrable almost product structure.


53B05 Linear and affine connections
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53B20 Local Riemannian geometry
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