Characterization of Kenmotsu manifolds with a generalized symmetric metric connection

Abstract

The objective of the present findings is to analyze Kenmotsu manifolds by using (α, β) type generalized symmetric metric connection. The characterization of Kenmotsu manifold by using certain curvature properties corresponding to the generalized symmetric metric connection is investigated. In the end, an example of Kenmotsu manifold with the generalized symmetric metric connection admitting Q tensor and Weyl conformal curvature tensor is constructed by using partial differential equations. © 2025, University of Nis. All rights reserved.