On the Landsberg spaces of dimension two with a special $(alpha, beta)$-metric

摘要

The present paper is devoted to studying the condition that a two-dimensional Finsler space with a special $(lpha, eta)$-metric be a Landsberg space. It is proved that if a Finsler space with a special $(lpha, eta)$-metric is a Landsberg space, then it is a Berwald space.