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

Shyamal Kumar Hui; Tanumoy Pal

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

Differential Geometry 2017-10-16 v1

Authors: Shyamal Kumar Hui , Tanumoy Pal

Abstract

The present paper deals with the study of totally real submanifolds and $\textit{C}$ -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 $\textit{C}$ -totally real submanifolds of $(LCS)_n$ -manifold with respect to both the said connections are same.

Keywords

totally real submanifolds (LCS)_n-manifolds Levi-Civita connection quarter symmetric metric connection scalar curvature

Cite

@article{arxiv.1710.04873,
  title  = {Totally real submanifolds of $(LCS)_n$-Manifolds},
  author = {Shyamal Kumar Hui and Tanumoy Pal},
  journal= {arXiv preprint arXiv:1710.04873},
  year   = {2017}
}

Comments

11 pages

Related papers

View all related →