Equation geodesic in a two-dimensional Finsler space with special (α, β)-metric

Authors

  • V.K. Chaubey Ansal Technical Campus, Lucknow, India
  • A. Mishra DDU Gorakhpur University, Gorakhpur, India
  • U.P. Singh Ansal Technical Campus, Lucknow, India

Keywords:

(α, β)-metric, geodesic, two-dimensional Finsler space

Abstract

In the years 1997 and 1998, Matsumoto And Park obtained the equations of a geodesic in a two-dimensional Randers, Kropina, and Matsumoto space. In 2011, Chaubey, Prasad, and Tripathi obtained the equation of geodesic for a more general (α, β)-metric as compared to Randers, Kropina, and Matsumoto metric. In the continuation of the above paper, here we have found the equation of geodesic for the well-known metric L = α + β2/α, L = β2/α, and special Matsumoto metric L = L = β)2/(β-α). The main results are illustrated in the different figures.

Author Biographies

V.K. Chaubey, Ansal Technical Campus, Lucknow, India

Department of Applied Sciences, Lucknow (U.P.)-226030

A. Mishra, DDU Gorakhpur University, Gorakhpur, India

Department of Mathematics and Statistics, Gorakhpur (U.P.)-273009

U.P. Singh, Ansal Technical Campus, Lucknow, India

Department of Applied Sciences, Lucknow (U.P.)-226030

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Published

2014-06-10

Issue

Vol. 7(56) No. 1 (2014)

Section

MATHEMATICS