一类对偶平坦的球对称的芬斯勒度量

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 ex-amples of dually flat Finsler metrics, obtain necessary and sufficient conditions of the solution to be dually flat.