Dobrinka Gribacheva, Dimitar Mekerov
Published 2009-07-09, updated 2012-03-21Version 4
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. We construct and characterize an example by a Lie group.
Comments: 19 pages, some corrections in the example; J. Geom. (2012)
Lie groups as 4-dimensional Riemannian or pseudo-Riemannian almost product manifolds with nonintegrable structure
Geometric structures on Lie groups with flat bi-invariant metric
Distinguished connections on $(J^{2}=\pm 1)$-metric manifolds
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