The generalized $B$ curvature tensor on $(LCS)_{n}$-manifolds

Somashekhara P 1 , Venkatesha 2 * and R.T. Naveen Kumar 3

doi:10.26637/MJM0703/0003

The generalized $B$ curvature tensor on $(LCS)_{n}$-manifolds

Authors :

Somashekhara P ¹ , Venkatesha ^{2 *} and R.T. Naveen Kumar ³

Author Address :

^1,2Department of Mathematics, Kuvempu University, Shankaraghatta - 577451, Shimoga, Karnataka, India.
³ Department of Mathematics, Siddaganga Institute of Technology, B H Road, Tumakuru-572103, Karnataka, India.

*Corresponding author.

Abstract :

The present paper deals with the study of generalized $B$ curvature tensor on $(LCS)_{n}$-manifolds. Here we describe flatness, semisymmetry and recurrent properties on $(LCS)_{n}$-manifolds. Moreover we consider the conditions $Bcdot R=0$, $Bcdot B=0$ and $Bcdot S=0$ and obtained interesting results

Keywords :

Lorentzian metric, $(LCS)_{n}$-manifolds, semisymmetric, $phi$-recurrent, $eta$-Einstein manifold.

DOI :

10.26637/MJM0703/0003

Article Info :

Received : December 24, 2018; Accepted : May 09, 2019.