两个二维Finsler空间的测地映射

Geodesic Mappings of Two-dimensional Finsler Spaces

在二维Finsler空间中 ,借助于度量张量 gij(x、y) ,探讨Finsler空间的测地映射 ,并利用Berwald标架深入研究在各种条件下两个二维Finsler空间的测地映射问题 。

In two dimensional Finsler space,having the aid of measuring tensor g ij (x,y),the essay inguires into geodesic mapping between Finsler spaces.Using Berwald scalar frame,it deeply researches geodesic mapping between two dimensional Finsler spaces,and some new sufficient and necessary conditions forming geodesic mapping between Finsler spaces are obtained in various conditions.