1) homeomorphic classification
同胚分类
1.
At last,the problem of homeomorphic classification on finite set X(|X|=n) is presented,and the exact results are also obtained while n=1,2,…,40.
最后研究了有限集X(|X|=n)上的HF-空间的同胚分类问题,并得到当n=1,2,,40时X上的HF-空间同胚类个数。
2) homeomorphic class
同胚分类
1.
This paper discusses two kinds of algorithms about homeomorphic classification of graphlike manifolds of which contraction is K n .
讨论了缩影为 Kn 的图式流形的 2种同胚分类算法 ,提出了最小方阵判断法和最小方阵计算法 ,并使用这2种方法 ,计算出了缩影为 3到 9个顶点的完全无向图的同胚类型的个数 ,给出了各个类型的图式流形代表
2.
In this paper, we designed algorithm and program for homeomorphic classification of graphlike manifolds, counted the numbers of homeomorphic classes of graphlike manifolds with respect to scores contractions of 3 vertexes, 4 vertexes and 5 vertexes.
首次应用计算机对图式流形的同胚分类进行了研究，并计算出了骨架具有３，４，５个顶点的全部图式流形的同胚分
3) homeomorphic classification
同胚类
4) diffeomorphism
微分同胚
1.
In this paper,we discuss smoothly conjugating equivalence of some local diffeomorphisms with hy- perbolic fixed points on finite dimensional space.
考虑有限维线性空间中的一类局部微分同胚在双曲不动点O附近的光滑共轭等价问题。
2.
In the paper several counterexamples of diffeomorphism used in analysis are constructed.
文章构造了微分同胚在分析学中的一些反例,对点集拓扑,泛函分析中相关问题的理解和认识有益处。
3.
We mainly discuss that diffeomorphism can keep Poisson structure on Poisson manifold.
讨论了微分同胚对Poisson流形上Poisson结构的保持 ,得到了微分同胚所诱导的Poisson括号的一些性质 ,最后 ,还得到了有关Poisson流形上的Casimir函数在微分同胚作用下仍然是Casimir函数这一有用的定
5) diffeomorphic
微分同胚
1.
In this paper, we study the property of Riemannian manifold satisfying Nash inequality, and prove that for any complete n-dimensional Riemannian manifold with nonnegative Ricci curvature, if the Nash inequality is satisfied and the Nash constant is more than the best Nash constant, then the manifold is diffeomorphic to Rn.
本文通过对满足Nash不等式的黎曼流形的研究,证明了对任一完备的Ricci曲率非负的n维黎曼流形,若它满足Nash不等式,且Nash常数大于最佳Nash常数,则它微分同胚于Rn。
2.
In this paper, we use the property of the smooth cut-off function to prove the following result: for any n-dimensional complete Riemannian manifold with nonnegative Ricci curvature, if one of the Nash inequalities is satisfied, then it is diffeomorphic to Rn .
运用光滑截断函数的性质,证明了对任一n维完备的黎曼流形,若它的Ricci曲率非负,且满足一个Nash不等式,则它微分同胚于Rn。
3.
It is paper our proved that a complete noncompact n-dimensional Riemanian manifolds M with Ric(M)≥-(n-1) is of a finite topological type or is diffeomorphic to Rn when its excess is bounded by a constant.
证明了Ric(M)≥-(n-1)完备非紧的n维黎曼流形M,若其上某一点的Excess函数有上界(常数)时,M就具有有限拓扑型或微分同胚于Rn。
6) homeomorphism class number
同胚类个数
补充资料：Y微分同胚
Y微分同胚
- (tiffeomorphism
Y微分同胚[Y一由肠印和。卿“，;Y一压“中中e服叩中邢M] 生成y系统(Y一systeln)的微分同胚.
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