Title of article :
On the reversible geodesics of a Finsler space endowed with a special deformed (α, β)-metric
Author/Authors :
Pişcoran, Laurian-Ioan Department of Mathematics and Computer Science - Technical University of Cluj Napoca - North University Center of Baia Mare, Baia Mare, Romania , Barbu, Cătălin "Vasile Alecsandri" National College, Bacau, Romania , Akram, Ali Department of Mathematics - King Khalid University, Abha, Saudi Arabia
Abstract :
The scope of this paper is twofold. On the one hand, we will investigate the reversible geodesics of a Finsler space endowed with the deformed newly introduced (α,β)-metric
begin{equation}
F_{ε}(α,β)=frac{β^{2}+α^{2}(a+1)}{α}+εβ
end{equation}
where ε is a real parameter with |ε|<2√a+1 and ain(¼,∞); and on the other hand, we will investigate the T-tensor for this metric.
Keywords :
Finsler (α,β)-metric , Deformation of an (α,β)-metric , T-Tensor
Journal title :
AUT Journal of Mathematics and Computing
