Finsler空间上的非线性联络与半对称度量联络

On Non-linear Connections and Semi-symmetric Metric Connections on a Finsler Space

本文从Cartan联络CΓ、Berwald联络BΓ和Rund联络RΓ所共有的非线性联络G出发,得到了一些不同于G的非线性联络以及这些非线性联络所确定的半对称度量Finsler联络,其中之一是Wagner联络。

In this paper several non-linear connections other than the common non-linear connection G of Caftan connection CΓ, Rund connection RΓ and Berwald connection BΓ and their corresponding semisymmetric metric connections including Wagner connection are derived from G.