Two-Dimensional Landsberg Space with a Generalized (Α, Β)-Metric

Abstract

The present mathematical manipulation is designed to study a Finsler space with a generalized -metric  satisfying few conditions. We have obtained a condition for a Finsler space with a generalized -metric to be a Berwald space. Further, we have proved that if a two-dimensional Finsler space with a generalized  metric  is a Landsberg space then it is a Berwald space.