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http://dx.doi.org/10.4134/BKMS.2006.43.2.425

ON WEAKLY-BERWALD SPACES OF SPECIAL (α, β)-METRICS  

Lee, Il-Yong (DEPARTMENT OF MATHEMATICS, KYUNGSUNG UNIVERSITY)
Lee, Myung-Han (Department of Mathematics, Kyungsugn University)
Publication Information
Bulletin of the Korean Mathematical Society / v.43, no.2, 2006 , pp. 425-441 More about this Journal
Abstract
We have two concepts of Douglas spaces and Lands-berg spaces as generalizations of Berwald spaces. S. Bacso gave the definition of a weakly-Berwald space [2] as another generalization of Berwald spaces. In the present paper, we find the conditions that the Finsler space with an (${\alpha},{\beta}$)-metric be a weakly-Berwald space and the Finsler spaces with some special (${\alpha},{\beta}$)-metrics be weakly-Berwald spaces, respectively.
Keywords
Berwald space; cubic metric space; Douglas space; Finsler space with $L={\alpha}+{\beta}^2/{\alpha}$; infinite series (${\alpha},{\beta}$)-metric space; weakly-Berwald space;
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Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By SCOPUS : 0
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