On generalized weakly symmetric (LCS)n-manifolds

Abstract

The object of the present paper is to study generalized weakly symmetric and weakly Ricci symmetric (LCS)n-manifolds. Our aim is to bring out different type of curvature restrictions for which (LCS)n-manifolds are sometimes Einstein and some other time remain η-Einstein. Finally, the existence of such manifold is ensured by a non-trivial example.