Generic $\xi^\perp$-Riemannian Submersions from Kenmotsu manifolds onto Riemannian Manifolds

Abstract

The goal of this article is to define and investigate the generic $\xi^\perp$- Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds along with the examples. We also examine the integrability as well as totally geodesicness of distributions involved in the definition of a generic $\xi^\perp$-Riemannian submersion. Along with it, we obtain decomposition theorems of this submersion. Furthermore, necessary and sufficient conditions for the base manifold to be a local product manifold are obtained. In addition with it, we also explore the totally umbilical nature of generic $\xi^\perp$-Riemannian submersion. Moreover, we obtain some curvature relations from Kenmotsu space forms between the total space, the base space and the fibers.