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http://dx.doi.org/10.4134/JKMS.2004.41.3.567

FINSLER SPACES WITH INFINITE SERIES (α, β)-METRIC  

Lee, Il-Yong (Department of Mathematics Kyungsung University)
Park, Hong-Suh (261-1007 Siji-Bosung Apt.)
Publication Information
Journal of the Korean Mathematical Society / v.41, no.3, 2004 , pp. 567-589 More about this Journal
Abstract
In the present paper, we treat an infinite series ($\alpha$, $\beta$)-metric L =$\beta$$^2$/($\beta$-$\alpha$). First, we find the conditions that a Finsler metric F$^{n}$ with the metric above be a Berwald space, a Douglas space, and a projectively flat Finsler space, respectively. Next, we investigate the condition that a two-dimensional Finsler space with the metric above be a Landsbeg space. Then the differential equations of the geodesics are also discussed.
Keywords
Berwald space; Douglas space; differential equations of geodesics; Finsler space; $({\alpa}, {\beta})$-metric; Landsberg space; projectively flat.;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
연도 인용수 순위
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