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ISSN : 1226-0657

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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: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2003, v.10 no.4, pp.279-288
Lee, Il-Yong
Lee,, I. (2003). ON TWO-DIMENSIONAL LANDSBERG SPACEWITH A SPECIAL (？; ？)-METRIC. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 10(4), 279-288.

Abstract

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

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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