On the reversible geodesics of a Finsler space endowed with a special deformed (α,β)-metric

Document Type : Original Article

Authors

1 Department of Mathematics and Computer Science, Victoriei 76, 430122 Baia Mare, Romania

2 Departamento de Matematica-ICE, Universidade Federal de Amazonas-UFAM, 69080-900 Manaus

3 "Vasile Alecsandri" National College, str. Vasile Alecsandri nr. 37, Bacau, Romania

10.22060/ajmc.2021.19522.1048

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 a\in(¼,∞); and on the other hand, we will investigate the T-tensor for this metric.

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Main Subjects