射影相关于Randers度量的(α,β)-度量

(α,β)-Metric Projectively Related to Randers Metric

(α,β)-度量是Finsler几何中非常重要的一类度量,Randers度量是最简单的非黎曼的(α,β)-度量.近年来,很多学者研究了具有特定形式的(α,β)-度量与Randers度量的射影相关问题[1-3],本文将特定形式的(α,β)-度量推广为一般的(α,β)-度量,研究了其与Randers度量的射影相关,得到了它们射影相关的充要条件.

（ α,β）-Metric is an important class of Finsler metric in Finsler geometry. Randers metric is the simplest non-Riemannian（ α,β）-metric. In recent years,many researchers study some special form of（ α,β）-metric projectively related to Randers metric. In this paper,we study more general（ α,β）-metric projectively related to Randers metric and obtain the sufficient and necessary condition for them to be projectively related.