P-connection on Riemannian almost product manifolds

Details P-connection on Riemannian almost product manifolds P-connection on Riemannian almost product manifolds

2009-07-09

arxiv.org/abs/0907.1502v1

C. R. Acad. Bulgare Sci., 2009, 62, p.1363-1370

Mathematics

Differential Geometry

8 pages

Scientific paper

In the present work, we introduce a linear connection (preserving the almost product structure and the Riemannian metric) on Riemannian almost product manifolds. This connection, called P-connection, is an analogue of the first canonical connection of Lichnerowicz in the Hermitian geometry and the B-connection in the geometry of the almost complex manifolds with Norden metric. Particularly, we consider the P-connection on a the class of manifolds with nonintegrable almost product structure.

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