On Landsberg and Berwald Spaces of Two Dimensional Finslerian Space with Special (α, β)-Metric

摘要

In the present paper, we find a condition for the two-dimensional Finsler space with a special (α, β)-metric L(α, β)=α＋α 2) /β to be a Berwald space. Also we have proved that, if the two-dimensional Finsler space with above metric is a Landsberg space, then it is a Berwald space.