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초록· 키워드
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In the present paper, we treat an infinite series (α, β)-
metric L = β2/(β −α). First, we find the conditions that a Finsler
metric Fn 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.
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참고문헌 (20)
참고문헌 신청
/ 1973 / On Landsberg spaces of two dimen-sions with : 1726 ~
/ 1977 / On Randers spaces of scalar curvature 11
/ 1986. / Foundations of Finsler Geometry and Special Finsler Spaces
/ 1989 / Randers spaces of constant curvature 28
/ 1991 / A special class of locally Minkowski spaces with -metric and con-formally at Kropina spaces (s.50)
/ 1977 / On Randers spaces of scalar curvature 11
/ 1986. / Foundations of Finsler Geometry and Special Finsler Spaces
/ 1989 / Randers spaces of constant curvature 28
/ 1991 / A special class of locally Minkowski spaces with -metric and con-formally at Kropina spaces (s.50)
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