对偶平坦的Kropina度量的共形性质  

The Conformal Properties of Dual Flat Kropina Metrics

作　　者：华义平 宋卫东[2] HUA Yiping;SONG Weidong(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,安徽池州247000 [2]安徽师范大学数学计算机科学学院,安徽芜湖241000

出　　处：《杭州师范大学学报（自然科学版）》2018年第6期646-649,共4页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：池州学院自然科学基金重点项目(2014ZRZ011)

摘　　要：研究了对偶平坦的Kropina度量的共形性质,利用对偶平坦、共形相关与其测地系数之间的关系,证明了对偶平坦和共形平坦的Kropina度量是闵可夫斯基度量,并得到了两个对偶平坦的Kropina度量之间的共形变换必然是位似变换.In this paper, the conformal properties of dual flat Kropina metrics are studied. Using the relations among dual flat, conformally related and geodesic coefficients of kropina metrics, it is proved that dual flat and conformally flat Kropina metrics are Minkowskian. Further, the conformal transformation between two dual flat kropina metrics must be homothetic.

关 键 词：对偶平坦 共形相关 Kropina度量 共形平坦 

分 类 号：O186.12[理学—数学]