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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 | ||
| مراجع | ||
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[3] M. Crasmareanu, A gradient-type deformation of conics and a class of Finslerian flows, An. Stiint. Univ. Ovidius Constanta, Ser. Mat., 25 (2017), no. 2, 85-99.
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[9] L. I. Pi¸scoran, V. N. Mishra, S-curvature for a new class of (α, β)-metrics, RACSAM, doi:10.1007/s13398-016- 0358-3, 2017. [10] P. Laurian-Ioan, B. Najafi, C. Barbu, T. Tabatabaeifar, The deformation of an (α, β)-metrics, International Electronic Journal of Geometry, 2021, Accepted.
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[13] A. Tayebi, H. Sadeghi, H. Peyghan, On Finsler metrics with vanishing S-curvature, Turkish J. Math., 38 (2014) 154-165. | ||
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