三参数射影平坦芬斯勒度量的构造  

The explicit structure of projectively flat Finsler metrics with three parameters

作　　者：刘金梦 宋卫东[1] LIU Jin-meng;SONG Wei-dong(School of Mathematics ＆ Computer Science, Anhui Normal University,Wuhu Anhui 241000, China)

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241000

出　　处：《华东师范大学学报（自然科学版）》2018年第3期30-37,共8页Journal of East China Normal University(Natural Science)

基　　金：国家自然科学基金(11371032);安徽省自然科学基金重点项目(KJ2017A795)

摘　　要：本文主要研究射影平坦芬斯勒度量,构造了一类含三参数的芬斯勒度量,并且得到了该度量是射影平坦的充要条件.另外,还给出了该度量有关旗曲率的表达式.In this paper, projectively flat Finsler metrics are considered. A class of projectively flat Finsler metrics with three parameters are formed. Moreover, the sufficient and necessary conditions for the measurement to be considered projectively flat was obtained. In particular,the flag curvature expression of projectively flat Finsler metrics are presented.

关 键 词：芬斯勒度量 射影平坦 射影因子 

分 类 号：O186.12[理学—数学]