Some transformations on (LCS)n-manifolds

Abstract

The present paper deals with a study of certain transformations on an (LCS)_n-manifold. It is shown that an (LCS)_n-manifold remains invariant under a D-homothetic deformation. We also study an infinitesimal CL-transformation on an (LCS)_n-manifold and obtain a necessary and sufficient condition for such an infinitesimal transformation to be a Killing or a conformal Killing vector field. Finally, we study CL-transformation on an (LCS)_n-manifold and obtained a new tensor field, called CL-curvature tensor field, which is invariant under such a transformation.