Totally real submanifolds of $(LCS{)}_n$-Manifolds

Abstract

The present paper deals with the study of totally real submanifolds and $\text{C}$-totally real submanifolds of $(LCS{)}_n$-manifolds with respect to Levi-Civita connection as well as quarter symmetric metric connection. It is proved that scalar curvature of $\text{C}$-totally real submanifolds of $(LCS{)}_n$-manifold with respect to both the said connections are same.

11 pages