On invariant submanifolds of (LCS)n-manifolds

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

• (LCS)n-manifold
• Invariant submanifold
• Semiparallel submanifold
• 2-semiparallel submanifold
• Totally geodesic