(ϵ)-Kenmotsu manifold admitting Schouten-van Kampen connection

Abstract

The objective of this paper is to study some properties of quasi-conformal and concircular tensor on (ϵ)-Kenmotsu manifold admitting the Schouten-van Kampen connection. Expressions of the curvature tensor, Ricci tensor and scalar curvature admitting Schouten-van Kampen connection have been obtained. Locally symmetric (ϵ)-Kenmotsu manifold admitting Schouten-van Kampen connection and quasicon formally flat as well as quasi-conformally semisymmetric (ϵ)-Kenmotsu manifolds admitting Schouten-van Kampen connection are studied.