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

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Authors :

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

Author Address :

1,2 Department 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.



Article Info :

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



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