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arXiv:0907.1502 [math.DG]AbstractReferencesReviewsResources

P-connection on Riemannian almost product manifolds

Dimitar Mekerov

Published 2009-07-09Version 1

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.

Comments: 8 pages
Journal: C. R. Acad. Bulgare Sci., 2009, 62, p.1363-1370
Categories: math.DG
Subjects: 53C15, 53C25, 53B05
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