Semi-Symmetric Metric Connection on Homothetic Kenmotsu Manifolds

Abstract

The object of the paper is to study homothetic Kenmotsu manifold with respect to semi-symmetric metric connection. We discuss locally 𝜑-symmetric homothetic Kenmotsu manifold and 𝜉-projectively flat homothetic Kenmotsu manifold with respect to semi-symmetric metric connection. Finally, we construct an example of 3-dimensional homothetic Kenmotsu manifold to verify some results.