1) Finsler submanifold
Finsler子流形
2) 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。
3) complex Finsler manifold
复Finsler流形
1.
The purpose of this paperis to study the Bochner technique on complex Finsler manifolds,give Weitzenb(o|¨)ckformulas of the differetial operator and the Laplace operators on complex Finslermanifolds,and obtain vanishing theorems on complex Finsler manifolds.
本文试图研究复Finsler流形上的Bochner技巧，给出复Finsler流形上有关微分算子和Laplace算子等算子的Weitzenb(o|¨)ck公式，从而得到复Finsler流形上的有关消灭定理。
4) pseudo-Finsler manifold
伪Finsler流形
1.
We start the second section with the concept of associate linear connection to FC on pseudo-Finsler manifold, where FC is the Finsler connection.
本文主要讨论了伪Finsler流形上的一些性质。
5) Kaehler Finsler manifold
Kaehler Finsler流形
1.
Based on the work of [12],[13], the author studies in this paper some geometric properties of complex Finsler hypersurface of a Kaehler Finsler manifold.
7):定理A设(M,F)为Kaehler Finsler流形,(M,F)为(M,F)的复Finsler超平面,则(M,F)的第二基本形式B(·,·)的系数B_(j;k)可表示为定理B设(M,F)为Kaehler Finsler流形, (M,F)为(M,F)的复Finsler超平面,且(M,F)不是全测地的,则的充分必要条件是定理C设(M,F)为Kaehler Finsler流形, (M,F)为(M,F)的复Finsler超平面,且(M,F)不是全测地的,D为(M,F)的复Rund联络,则M_j_i=0的充分必要条件是:D在(M,F)上的诱导复线性联络(?)与(M,F)的内蕴复Rund联络(?)相同。
6) strongly Kahler-Finsler manifold
强Khler-Finsler流形
1.
Some properties of the mean-value Laplacian for functions of strongly Kahler-Finsler manifolds such as self-adjointness and the divergence form are given.
本文给出了强Khler-Finsler流形上中值Laplace算子的一些性质,如自伴性质,散度形式等。
补充资料：子流形
见微分流形。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条