%0 Journal Article
%T 一类射影平坦和对偶平坦的Finsler度量
%A 何超
%A 李影
%A 宋卫东
%J 中国科学技术大学学报
%D 2017
%R 10.3969/j.issn.0253-2778.2017.06.002
%X 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.</br>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.
%K Finsler度量
%K 球对称
%K 射影平坦
%K 对偶平坦&lt
%K /br&gt
%K Key words： Finsler metrics spherically symmetric projectively flat dually flat
%U http://just.ustc.edu.cn/CN/abstract/abstract163.shtml