In the present paper, we find a condition for the two-dimensional Finsler space with a special (α, β)-metric L(α, β)=α＋α2/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.
Cite this paper
Kumar, P. , Madhu, T. S. and Sharath, B. R. (2019). On Landsberg and Berwald Spaces of Two Dimensional Finslerian Space with Special (α, β)-Metric. Open Access Library Journal, 6, e5244. doi: http://dx.doi.org/10.4236/oalib.1105244.