%0 Journal Article %T P-connection on Riemannian almost product manifolds %A Dimitar Mekerov %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0907.1502v1