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arxiv: 0907.1501 · v4 · pith:IJOD46YAnew · submitted 2009-07-09 · 🧮 math.DG

Canonical connection on a class of Riemannian almost product manifolds

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keywords almostconnectionproductcanonicalriemannianclasshermitianmanifold
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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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