一类射影平坦和对偶平坦的Finsler度量

Finsler几何是没有二次型限制的黎曼几何，Finsler几何中两个非常重要的问题是射影平坦和对偶平坦的Finsler度量.主要研究了一类含有3个参数的Finsler度量，得到了其为射影平坦和对偶平坦的充要条件.
Abstract：Finsler geometry is just Riemannian geometry without quadratic restriction, and the projectively flat and dually flat Finsler metrics are very important in Finsler geometry. Here a class of 3-parameter of Finsler metrics were studied, and the necessary and sufficient conditions for the Finsler metrics to be projectively flat and dually flat were obtained.