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

Title & Authors
ON WEAKLY-BERWALD SPACES OF SPECIAL (α, β)-METRICS
Lee, Il-Yong; Lee, Myung-Han;

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 ($\small{{\alpha},{\beta}}$)-metric be a weakly-Berwald space and the Finsler spaces with some special ($\small{{\alpha},{\beta}}$)-metrics be weakly-Berwald spaces, respectively.
Keywords
Berwald space;cubic metric space;Douglas space;Finsler space with $\small{L={\alpha}+{\beta}^2/{\alpha}}$;infinite series ($\small{{\alpha},{\beta}}$)-metric space;weakly-Berwald space;
Language
English
Cited by
1.
ON THE SECOND APPROXIMATE MATSUMOTO METRIC,;;;

대한수학회보, 2014. vol.51. 1, pp.115-128
1.
Projectively Flat Finsler Space of Douglas Type with Weakly-Berwald (α,β)-Metric, International Journal of Pure Mathematical Sciences, 2017, 18, 1
2.
ON THE SECOND APPROXIMATE MATSUMOTO METRIC, Bulletin of the Korean Mathematical Society, 2014, 51, 1, 115
3.
RETRACTED: On two subclasses of -metrics being projectively related, Journal of Geometry and Physics, 2012, 62, 2, 292
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