Some transformations on Kenmotsu manifolds

Abstract

The present paper deals with a study of certain transformations on a Kenmotsu manifold. We study an infinitesimal $CL$-transformation on a Kenmotsu manifold. We also study $CL$-transformation on a Kenmotsu manifold and obtain a new tensor field which is invariant under such a transformation. Finally we study $CL$-semisymmetric Kenmotsu manifold and prove that it is a manifold of constant curvature $-1$, from which we obtain some equivalent conditions as characterization of such a manifold.