On the reversible geodesics of a Finsler space endowed with a special deformed $(\alpha, \beta)$-metric

Document Type : Original Article


1 Technical University of Cluj Napoca, North University Center of Baia Mare, Department of Mathematics and Computer Science, Victoriei 76, 430122 Baia Mare, Romania

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

3 Departamento de Matematica-ICE, Universidade Federal de Amazonas-UFAM, 69080-900 Manaus-AM, Brazil

4 Department of Mathematics, King Khalid University, 9004 Abha, Saudi Arabia


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 $(\alpha, \beta)$-metric
where $\epsilon$ is a real parameter with $|\epsilon|<2\sqrt{a+1}$ and $a\in \left(\frac{1}{4},+\infty\right)$; and on the other hand, we will investigate the T-tensor for this metric.


Main Subjects

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