芬斯拉度量的正齐次提升

The homogeneous lift of Finsler metry

本文以最一般的方式定义了流形M上Finsler度量g在T(M)上的提升g,又引进对一般的Finsler联络FG而言的应变张量场S,并证明了它的所有N-分解因子全是正齐次的。

In this paper, We define the lift g of Finsler metrics g in the manifold M to the T(M), also we introduce the stein tensor field S for the general Finsler connection FG, and prove that, the factors of N-decomposition all are p-homogenity.