• 제목/요약/키워드: Weier-strass form

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GEODESIC EQUATIONS OF TWO-DIMENSIONAL FINSLER SPACES WITH (${\alpha},\;{\beta}$)-METRICES $L\;=\;{\beta}+\{frac{\alpha^2}{\beta}\;AND\;L\;=\;{\alpha}+\frac{\beta^2}{\alpha}$.

  • Lee, Il-Yong;Choi, Eun-Seo
    • Journal of applied mathematics & informatics
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    • 제5권3호
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    • pp.839-848
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    • 1998

  • We can obtain the concise description of two dimensional Finsler space from the viewpoint of their geodesic curves. In this paper we obtain the geodesic equations in a two-dimensional Finsler space with some special (${\alpha},\;{\beta}$)-metrics by using the Weierstrass form. We shall be referred to an isothermal coodinate system and an orthonormal one with respect to an associated Riemannian space.