Semi-Slant Submersions from Almost Product Riemannian Manifolds

Abstract

In this paper, we introduce semi-slant submersions from almost product Riemannian manifolds onto Riemannian manifolds. We give some examples, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion. We also find necessary and sufficient conditions for a semi-slant submersion to be totally geodesic.

Keywords

• almost product Riemannian manifold
• Riemannian submersion
• semi-slant submersion