Hemi-slant submersions from almost product Riemannian manifolds

Abstract

In this paper, we introduce hemi-slant 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 hemi-slant submersion to be totally geodesic.