射影相关于Randers度量的(α,β)-度量  

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

作　　者：华义平 宋卫东[2] HUA Yi-ping;SONG Wei-dong(Department of Mathematics and Computer Science, Chizhou College, Chizhou, 247000, China;Department of Mathematics and Computer Science, Anhui Normal University, Wuhu, 241000, China)

机构地区：[1]池州学院数学与计算机学院,中国池州247000 [2]安徽师范大学数学计算机科学学院,中国芜湖241000

出　　处：《湖南师范大学自然科学学报》2018年第3期80-84,共5页Journal of Natural Science of Hunan Normal University

基　　金：池州学院自然科学基金重点项目(2014ZRZ011)

摘　　要：(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.

关 键 词：(Α Β)-度量 RANDERS度量 射影相关 Douglas度量 

分 类 号：O186.12[理学—数学]