一类射影平坦的球对称的芬斯勒度量（英文）  

A CLASS OF PROJECTIVELY FLAT SPHERICALLY SYMMETRIC FINSLER METRICS

作　　者：陈亚力[1] 宋卫东[2] 

机构地区：[1]安徽师范大学环境科学与工程学院,安徽芜湖241000 [2]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5期932-944,共13页Journal of Mathematics

基　　金：Supported by the National Natural Science Foundation of China(11071005);the Research Culture Funds of Anhui Normal University(2016XJJ017)

摘　　要：本文研究了射影平坦芬斯勒度量的构造问题.通过分析射影平坦的球对称的芬斯勒度量的方程的解,构造了一类新的射影平坦的芬斯勒度量,并得到了射影平坦的球对称的芬斯勒度量的射影因子和旗曲率.In this paper, we investigate the construction of projectively flat Finsler metrics. By analysing the solution of the spherically symmetric projectively fiat equation1, we construct new examples of projectively flat Finsler metrics, and obtain the projective factor and flag curvature of spherically symmetric Finsler metrics to be projectively flat.

关 键 词：射影平坦 芬斯勒度量 球对称 射影因子 旗曲率 

分 类 号：O186.1[理学—数学]