一类射影平坦的球对称的芬斯勒度量

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 pro jectively flat equation, we construct new examples of pro jectively flat Finsler metrics, and obtain the pro jective factor and flag curvature of spherically symmetric Finsler metrics to be projectively flat.