Canonical connection on a class of Riemannian almost product manifolds

Details Canonical connection on a class of Riemannian almost product manifolds Canonical connection on a class of Riemannian almost product manifolds

2009-07-09

arxiv.org/abs/0907.1501v4

Mathematics

Differential Geometry

19 pages, some corrections in the example; J. Geom. (2012)

Scientific paper

10.1007/s00022-011-0098-7

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.

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