On invariant submanifolds of ( LCS ) n -manifolds

Author

Department of Mathematics, Sidho Kanho Birsha University, Purulia 723 104, West Bengal, India

Abstract

The object of the present paper is to study the invariant submanifolds of ( LCS ) n -
manifolds. We study semiparallel and 2-semiparallel invariant submanifolds of ( LCS ) n -manifolds.
Among others we study 3-dimensional invariant submanifolds of ( LCS ) n -manifolds. It is shown that
every 3-dimensional invariant submanifold of a ( LCS ) n -manifold is totally geodesic

Keywords