具有标量旗曲率的球对称Finsler度量（英文）

Spherically symmetric Finsler metrics with scalar flag curvature

Finsler几何是没有二次型限制的黎曼几何,射影平坦是Finsler几何中非常重要的问题.通过对一个微分方程的研究得到了新的球对称射影平坦的Finsler度量并利用沈忠民的结果得到其旗曲率.

Finsler geometry is Riemannian geometry without quadratic restriction,and the projectively flat Finsler metrics are very important in Finsler geometry.Here a new example of projectively flat spherically symmetric Finsler metric was given by investigating a PDE equivalent,and using Shen Zhongmin’s result,its flag curvature was obtained.