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

Volume 18, Issue 3, pp 381--387 http://dx.doi.org/10.22436/jmcs.018.03.12
Publication Date: August 26, 2018 Submission Date: May 28, 2018 Revision Date: July 04, 2018 Accteptance Date: August 02, 2018

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


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