TITLE:
On Landsberg and Berwald Spaces of Two Dimensional Finslerian Space with Special (α, β)-Metric
AUTHORS:
Pradeep Kumar, T. S. Madhu, B. R. Sharath
KEYWORDS:
Finsler Space, Berwald Space, Cartan Connection, Landsberg Space, Main Scalar
JOURNAL NAME:
Open Access Library Journal,
Vol.6 No.3,
March
13,
2019
ABSTRACT: 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.