The generalized $B$ curvature tensor on $(L C S)_n$-manifolds

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DOI:

https://doi.org/10.26637/MJM0703/0003

Abstract

The present paper deals with the study of generalized $B$ curvature tensor on $(L C S)_n$-manifolds. Here we describe flatness, semisymmetry and recurrent properties on $(L C S)_n$-manifolds. Moreover we consider the conditions $B \cdot R=0, B \cdot B=0$ and $B \cdot S=0$ and obtained interesting results

Keywords:

Lorentzian metric, $(LCS)_n$-manifolds, semisymmetric, φ-recurrent, η-Einstein manifold

Mathematics Subject Classification:

Mathematics
  • P. Somashekhara Department of Mathematics, Kuvempu University, Shankaraghatta - 577451, Shimoga, Karnataka, India.
  • Venkatesha Department of Mathematics, Kuvempu University, Shankaraghatta - 577451, Shimoga, Karnataka, India.
  • R.T. Naveen Kumar Department of Mathematics, Siddaganga Institute of Technology, B H Road, Tumakuru-572103, Karnataka, India.
  • Pages: 383-387
  • Date Published: 01-07-2019
  • Vol. 7 No. 03 (2019): Malaya Journal of Matematik (MJM)

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Published

01-07-2019

How to Cite

P. Somashekhara, Venkatesha, and R.T. Naveen Kumar. “The Generalized $B$ Curvature Tensor on $(L C S)_n$-Manifolds”. Malaya Journal of Matematik, vol. 7, no. 03, July 2019, pp. 383-7, doi:10.26637/MJM0703/0003.