EQUATIONS OF GEODESICS IN A TWO-DIMENSIONAL FINSLER SPACE WITH A GENERALIZED KROPINA METRIC

  • Park, Hong-Suh (Department of Mathematics Yeungnam University) ;
  • Lee, Il-Yong (Department of Mathematics Kyungsung University)
  • Published : 2000.05.01

Abstract

The geodesic equation in a two-dimensional Finsler space is given by the differential equation of the Weierstrass form. In the present paper, we express the differential equations of geodesics in a two-dimensional Finsler space with a generalized Kropina metric.

Keywords

Finsler space;geodesic;($\alpha,\beta$)-metric;Weierstrass form;generalized Kropina metric;special ($\alpha,\beta$)-metric

References

  1. The Theory of Sprays and Finsler spaces with Applications in Physics and Biolgy P.L. Antonelli;R.S. Ingarden;M. Matsumoto
  2. Tensor N.S. v.56 On a Finsler space with a special (α,β)-metric H.S. Park;E.S. Choi
  3. Revue Roumanie de Pures et Appliquees Equations of geodesics in two- dimensional Finsler spaces with (α,β)-metric M. Matsumoto;H.S. Park
  4. Open System and Inform. Dynamics v.3 Every path space of dimension two is projectvely related to a Finsler space
  5. J. Hokkaido Univ. Education. Sect.ⅡA v.46 On Finsler spaces with (α,β)-metric. Regularity, geodesics and the main scalars M. Kitayama;M. Azuma;M. Matsumoto
  6. J. Korean Math. Soc. v.10 On Landsberg spaces of two dimensions with (α,β)-metric M. Hashinguchi;S. Hojo;M. Matsumoto
  7. Mathl. Comput. Medeling v.20 Geodesics of two-dimensional Filnsler spaces
  8. Reports on Mathmetical physics v.31 Theory of Finsler spaces with (α,β)-metric M. Matsumoto
  9. Publ. Math. Debrecen v.51 On Finsler spaces of Douglas type, Generalization of the notion of Berward space S. Bacso;M. Matsumoto