Generic Riemannian Submersions from Almost Product Riemannian

Abstract

In this paper, we define and study generic Riemannian submersions from almost product Riemannian manifolds onto Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion. We also find necessary and sufficient conditions for a generic Riemannian submersion to be totally geodesic.