1) Finlser bundle
Finsler丛
2) Finsler tensor bundle
Finsler张量丛
1.
Studies the connections in Finsler tensor bundle F r s(M) by converting their definition as distribution into the definition as covariant differential,considers the main concepts such as parallel translation,curvature matrix,etc.
通过把 Finsler张量丛中定义成分布的联络转化为协变微分 ,深入讨论这个联络 ,考察平行移动、曲率方阵等主要概念 ,并推广 Chern联络及旗曲
3) projectived Finsler bundle
射影化Finsler丛
1.
<Abstrcat>The relation among Finsler bundle FM, projectived Finsler bundle PFM and induced bundle π~(-1)_(PT)TM is studied, and the relation between Chern connection and classical Finsler connections is discovered.
从Finsler丛FM中的、射影化Finsler丛PFM中的和诱导丛π-1PTTM上的联络之间的关系出发,得到Chern联络与古典Finsler联络的关系。
4) Finsler manifold
Finsler流形
1.
Study of the geometric property of flag curvature in a Finsler manifold;
Finsler流形中旗曲率几何性质的探讨
2.
The formula for the second variation of arclength in Finsler manifold is obtained by the methods of moving frames and lifting along certain direction.
在Finsler流形上利用活动标架法,通过沿某一方向提升,获得了弧长第二变分的表达式。
3.
A new and simple necessary condition for a Finsler manifold can be isometrically immersed into high dimensional Minkowski space is given,namely,any Finsler manifold that can be isometrically immersed into Minkowski space must have finite uniformity constant.
首先给出了Finsler流形能等距浸入到高维Minkowski空间中的一个新的简单的必要条件,即任何能等距浸入到Minkowski空间中的Finsler流形必定具有有限一致常数。
5) complex Finsler metric
复Finsler度量
1.
The complex (α, β)metric is very important in complex Finsler metrics, where α2 = a dz idz is a Hermitian metric on M and β= bi(z)dz i is a (1, 0)-form on M.
设F:T1,0M→R*为复流形M上的强凸复Finsler度量,一般的由F°诱导的Cartan联络及由F诱导的Chern-Finsler联络是不同的,主要在垂直丛上对这两种联络进行了比较;复α,β度量F=αφ(│β│/α)是较为重要的复Finsler度量,其中α2=aijdzidzj为M上的Hermitian度量,β=bizdzi为M上的1,0形式。
6) strongly K(?)hler-Finsler
强K(?)hler-Finsler
补充资料：丛丛
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