Almost α-Kenmotsu Pseudo-Riemannian Manifolds with CR-Integrable Structure

Abstract

This article aims to study almost α-Kenmotsu pseudo-Riemannian structure. We first focus on the concept of almost α-Kenmotsu pseudo-Riemannian structure and its basic properties. Then, we shall prove some fundamental formulas and some classification results on such manifolds with CR-integrable structure. Finally, some illustrative examples of almost α-Kenmotsu pseudo-Riemannian manifold are given.