Abstract

In this article, we investigate the submanifold of an (LCS)n manifold ¯L under the infinitesimal CL-transformation. Then, given a submanifold of an (LCS)n manifold ¯L under the infinitesimal CL-transformation, we derive the generalized Wintgen inequality. We compute curvature identities and the Wintgen inequality, especially for minimal submanifolds in the (LCS)n manifold ¯L and LP-Sasakina manifolds under the infinitesimal CL-transformation Additionally, we find an inequality in terms of the spread of the shape operator for compact submanifolds in the (LCS)n manifold ¯L and and LP-Sasakina manifolds under the infinitesimal CL-transformation.