一类对偶平坦的球对称的芬斯勒度量（英文）  

A CLASS OF DUALLY FLAT SPHERICALLY SYMMETRIC FINSLER METRICS

作　　者：陈亚力[1] 宋卫东[1] CHEN Ya-li SONG Wei-dong(School of Mathematics and Computer Science, Anhui Normal University, Wuhu 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：《数学杂志》2017年第1期107-117,共11页Journal of Mathematics

基　　金：Supported by the National Natural Science Foundation of China(Grant11071005)

摘　　要：本文研究了对偶平坦的芬斯勒度量的构造问题.通过分析球对称的对偶平坦的芬斯勒度量的方程的解,我们构造了一类新的对偶平坦的芬斯勒度量,并得到了球对称的芬斯勒度量成为对偶平坦的充分必要条件.This paper investigates the construction of dually flat Finsler metrics. By analysing the solution of the spherically symmetric dually flat equation, we construct new examples of dually flat Finsler metrics, obtain necessary and sufficient conditions of the solution to be dually flat.

关 键 词：对偶平坦 芬斯勒度量 球对称 

分 类 号：O186.1[理学—数学]