Journal of Advances in Mathematics and Computer Science

On Curvatures of Lorentzian Concircular Structure Manifolds

Mehmet Atçeken *

Department of Mathematics, GaziosmanpaÅŸa University, Faculty of Arts and Sciences, 60100, Tokat, Turkey.

*Author to whom correspondence should be addressed.

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Abstract

In this paper, we study the conditions satisfying (ξ, X)P = 0, P(ξ, X)S = 0, P(ξ, X) = 0, and P(ξ, X)P = 0 on a Lorentzian concircular structure manifold. According to these cases, (LCS)-manifolds are categorized and an example is used to demonstrate that the method presented in this paper is effective.

Keywords: (LCS)-Manifold, projective curvature Tensor and Concircular curvature

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