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Gribacheva, Dobrinka; Mekerov, Dimitar

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

J. Geom. 102, No. 1-2, 53-71 (2011).
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.

Cited in 7 Documents

MSC:

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

Keywords:

Riemannian almost product manifold; nonintegrable structure; canonical connection; parallel torsion; Lie group; Killing metric
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\textit{D. Gribacheva} and \textit{D. Mekerov}, J. Geom. 102, No. 1--2, 53--71 (2011; Zbl 1243.53011)
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References:

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