On Geodesic Equation and Main Scalar in Two Dimensional Finsler Space with Matsumoto Metrics

Authors

  • S. K. Narasimhamurthy Department of Mathematics, Kuvempu University, Shivamogga 577451
  • K. Chandru Department of Mathematics, Kuvempu University, Shivamogga 577

DOI:

https://doi.org/10.26713/jims.v10i3.656

Keywords:

\((\alpha, \beta)\)-metrics, Geodesics, Two-dimensional Finsler space, Main scalar, Matsumoto metric

Abstract

In this paper, we consider the two dimensional Finsler space with generalized Matsumoto metric and derived the geodesics equation in the Weierstrass form of differential equation. Then we find the main scalar for generalized Matsumoto metric in the two dimensional Finsler space.

Downloads

Download data is not yet available.

References

P.L. Antonelli, R.S. Ingarden and M. Matsumto, The Theory of Sprays and Finsler Spaces with Application in Physics and Biology, Kluwer Acad. Publ., Dordrecht, Boston, London (1985).

V.K. Chaubey, B.N. Prasad and D.D. Tripathi, Equations of geodesic for a ((alpha,beta))-metric in a twodimensional Finsler space, J. Math. Comput. Sci. 3 (2013), 863 – 872.

M. Hasiguchi, S. Hojo and M. Matsumto, On landsberg spaces of two dimensions with ((alpha,beta))-metric, J. Korean. Math. Soc. 10 (1973), 17 – 26.

M. Kitayama, M. Azuma and M. Matsumoto, On Finsler space with ((alpha,beta))-metric, Regularity, Geodesics and main scalars, J. Hokkaido Univ. of Education 46 (1995), 1 – 10.

I.Y. Lee and H.S. Park, Finsler spaces with infinite series ((alpha,beta))-metric, J. Korean Math. Soc. 3 (2004), 567 – 589.

M. Matsumto, Geodesics of two dimensional Finsler spaces, Mathel. Comput. Modelling. 20 (1994), 1 – 23.

M. Matsumoto and H.S. Park, Equations of geodesic in two dimensional Finsler space with ((alpha,beta))-metric, Revue. Roumanie de pures et Appliques (1997), 787 – 793.

M. Matsumoto and H.S. Park, Equations of geodesic in teo dimensional Finsler space with ((alpha,beta))-metric, Tensors, N.S. 60 (1998), 89 – 93.

H.S. Park and I.Y. Lee, Equations of geodesic in a two dimensional Finsler space with a generalized Kropina metric, Bull. Korean Math. Soc. 37 (2000), N.S. 02, 337 – 346.

Downloads

Published

2018-09-30
CITATION

How to Cite

Narasimhamurthy, S. K., & Chandru, K. (2018). On Geodesic Equation and Main Scalar in Two Dimensional Finsler Space with Matsumoto Metrics. Journal of Informatics and Mathematical Sciences, 10(3), 495–503. https://doi.org/10.26713/jims.v10i3.656

Issue

Vol. 10 No. 3 (2018)

Section

Research Articles

License

Authors who publish with this journal agree to the following terms:
  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.