Invariant submanifolds of (LCS)n-Manifolds with respect to quarter symmetric metric connection

Abstract

The object of the present paper is to study invariant submanifolds of (LCS)n-manifolds with respect to quarter symmetric metric connection. It is shown that the mean curvature of an invariant submanifold of (LCS)n-manifold with respect to quarter symmetric metric connection and Levi-Civita connection are equal. An example is constructed to illustrate the results of the paper. We also obtain some equivalent conditions of such notion.

18 pages

Cited by in corpus (1)

• Ricci Solitons on submanifolds of $(LCS{)}_n$-Manifolds