Curvature properties of $(\alpha, \beta)$-metrics

Abstract

$(\alpha, \beta)$-metrics form a rich class of computable Finsler metrics. Many $(\alpha, \beta)$-metrics with special curvature properties have been found and discussed. They play an important role in Finsler geometry. In this article, we introduce the recent developments in the study of $(\alpha, \beta)$-metrics.