两类局部对偶平坦(α,β)-度量的共形性质  

The Conformal Properties on Two Classes of Locally Dually Flat(α,β)-Metrics

作　　者：程新跃[1] 史瑞东[1] 

机构地区：[1]重庆理工大学数学与统计学院,重庆400054

出　　处：《西南大学学报（自然科学版）》2014年第6期11-15,共5页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11371386);欧盟FP7(SEVENTH FRAMEWORK PROGRAMME)资助项目(PIRSES-GA-2012-317721)

摘　　要：分别研究了局部对偶平坦的Randers度量和局部对偶平坦的平方度量在共形变换下的性质.证明了两个局部对偶平坦的Randers度量之间的共形变换必然是位似变换.对于局部对偶平坦的平方度量可得到同样的结论.In this paper, the conformal properties of locally dually flat Randers metrics and locally dually flat square metrics are studied. The authors prove that the conformal transformation between two locally dually flat Randers metrics must be a homothety. The same conclusion still holds for locally dually flat square metrics.

关 键 词：RANDERS度量 平方度量 共形变换 局部对偶平坦度量 

分 类 号：O186[理学—数学]