Bulletin of the
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Bull. Korean Math. Soc. 2000; 37(2): 337-346

Printed June 1, 2000

Copyright © The Korean Mathematical Society.

Equations of geodesics in a two-dimensional Finsler space with a generalized Kropina metric

Hong-Suh Park and Il-Yong lee

Yeungnam University, Kyungsung University

Abstract

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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

MSC numbers: 53B40, 35A30

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