ON TWO-DIMENSIONAL LANDSBERG SPACEWITH A SPECIAL (？; ？)-METRIC

Lee, Il-Yong; Lee, Il-Yong

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P-ISSN3059-0604
E-ISSN3059-1309
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ISSN : 3059-0604

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Vol.10 No.4

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ON TWO-DIMENSIONAL LANDSBERG SPACEWITH A SPECIAL (？; ？)-METRIC

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

2003, v.10 no.4, pp.279-288

Lee, Il-Yong

Lee,, I. (2003). ON TWO-DIMENSIONAL LANDSBERG SPACEWITH A SPECIAL (？; ？)-METRIC, 10(4), 279-288.

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Abstract

In the present paper, we treat a Finsler space with a special (${\alpha},\;{\beta}$)-metric $L({\alpha},\;{\beta})\;\;C_1{\alpha}＋C_2{\beta}+{\alpha}^2/{\beta}$ satisfying some conditions. We find a condition that a Finsler space with a special (${\alpha},\;{\beta}$)-metric be a Berwald space. Then it is shown that if a two-dimensional Finsler space with a special (${\alpha},\;{\beta}$)-metric is a Landsberg space, then it is a Berwald space.

keywords: Berwald space, Cartan connection, difference vector, Finsler space, Landsberg space, main scalar

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Article Contents

Vol.10 No.4

ON TWO-DIMENSIONAL LANDSBERG SPACEWITH A SPECIAL (？; ？)-METRIC

Abstract

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics