Pişcoran, Laurian-Ioan, Barbu, Cătălin, Akram, Ali. (1399). On the reversible geodesics of a Finsler space endowed with a special deformed $(\alpha, \beta)$-metric. نشریه مهندسی عمران امیرکبیر, 2(1), 73-80. doi: 10.22060/ajmc.2021.19522.1048
Laurian-Ioan Pişcoran; Cătălin Barbu; Ali Akram. "On the reversible geodesics of a Finsler space endowed with a special deformed $(\alpha, \beta)$-metric". نشریه مهندسی عمران امیرکبیر, 2, 1, 1399, 73-80. doi: 10.22060/ajmc.2021.19522.1048
Pişcoran, Laurian-Ioan, Barbu, Cătălin, Akram, Ali. (1399). 'On the reversible geodesics of a Finsler space endowed with a special deformed $(\alpha, \beta)$-metric', نشریه مهندسی عمران امیرکبیر, 2(1), pp. 73-80. doi: 10.22060/ajmc.2021.19522.1048
Pişcoran, Laurian-Ioan, Barbu, Cătălin, Akram, Ali. On the reversible geodesics of a Finsler space endowed with a special deformed $(\alpha, \beta)$-metric. نشریه مهندسی عمران امیرکبیر, 1399; 2(1): 73-80. doi: 10.22060/ajmc.2021.19522.1048

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

AUT Journal of Mathematics and Computing
مقاله 9، دوره 2، شماره 1، اردیبهشت 2021، صفحه 73-80    اصل مقاله (324.6 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22060/ajmc.2021.19522.1048
نویسندگان
Laurian-Ioan Pişcoran* 1؛ Cătălin Barbu2؛ Ali Akram3، 4
1Technical 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
3Departamento de Matematica-ICE, Universidade Federal de Amazonas-UFAM, 69080-900 Manaus-AM, Brazil
4Department of Mathematics, King Khalid University, 9004 Abha, Saudi Arabia
چکیده
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.
کلیدواژه‌ها
Finsler $(\alpha,\beta)$-metric؛ Deformation of an $(\alpha,\beta)$-metric؛ $T$-Tensor
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