On the reversible geodesics of a Finsler space endowed with a special deformed $(\alpha, \beta)$-metric
نویسندگان
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
doi
10.22060/ajmc.2021.19522.1048چکیده
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\begin{equation}F_{\epsilon}(\alpha,\beta)=\frac{\beta^{2}+\alpha^{2}(a+1)}{\alpha}+\epsilon\beta\end{equation}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.
