On the reversible geodesics of a Finsler space with special \((\alpha,\beta)\)-metric
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Authors
Mohammad Rafee
- Department of Mathematics, I. K. Gujral Punjab Technical University, Kapurthala, India.
Avdhesh Kumar
- Department of Mathematics, I. K. Gujral Punjab Technical University, Kapurthala, India.
G. C. Chaubey
- Department of Mathematics, T. D. P. G. College, V. B. S. Purvanchal University, Jaunpur, India.
Abstract
This paper deals with the existence of reversible geodesics on a Finsler space with some \((\alpha,\beta)\)-metrics. The conditions for a Finsler space \((M,F)\) to be with reversible geodesics are obtained. We study some geometrical properties of \(F\) with reversible geodesics and prove that the Finsler metric \(F\) induces a weighted quasi-metric \(d_F\) on \(M\).
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ISRP Style
Mohammad Rafee, Avdhesh Kumar, G. C. Chaubey, On the reversible geodesics of a Finsler space with special \((\alpha,\beta)\)-metric, Journal of Mathematics and Computer Science, 18 (2018), no. 3, 381--387
AMA Style
Rafee Mohammad, Kumar Avdhesh, Chaubey G. C., On the reversible geodesics of a Finsler space with special \((\alpha,\beta)\)-metric. J Math Comput SCI-JM. (2018); 18(3):381--387
Chicago/Turabian Style
Rafee, Mohammad, Kumar, Avdhesh, Chaubey, G. C.. "On the reversible geodesics of a Finsler space with special \((\alpha,\beta)\)-metric." Journal of Mathematics and Computer Science, 18, no. 3 (2018): 381--387
Keywords
- Reversible geodesics
- \((\alpha,\beta)\)-metric
- distance
- quasi-metric
- weighted quasi-metric
MSC
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