Riemannian submersions endowed with a semi-symmetric metric connection

Abstract

In this paper we investigate Riemannian submersions from a Riemannian manifold with a semisymmetric metric connection onto a Riemannian manifold. We obtain O'Neill's tensor fields for semi-symmetric metric connection. We show that this tensors are not skew symmetric. We obtain derivatives of those tensor fields and compare curvatures of the total manifold, the base manifold and the fibres by computing curvatures.