Totally real submanifolds of $(LCS)_n$-Manifolds
Shyamal Kumar Hui, Tanumoy Pal
TL;DR
This paper investigates totally real and C-totally real submanifolds within (LCS)_n-manifolds, analyzing their properties under different connections and establishing that their scalar curvatures are identical in both contexts.
Contribution
It provides new insights into the scalar curvature behavior of C-totally real submanifolds in (LCS)_n-manifolds under Levi-Civita and quarter symmetric metric connections.
Findings
Scalar curvature of C-totally real submanifolds is the same under both connections.
The study extends understanding of submanifold geometry in (LCS)_n-manifolds.
Results contribute to the theory of submanifolds with respect to different affine connections.
Abstract
The present paper deals with the study of totally real submanifolds and -totally real submanifolds of -manifolds with respect to Levi-Civita connection as well as quarter symmetric metric connection. It is proved that scalar curvature of -totally real submanifolds of -manifold with respect to both the said connections are same.
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