阿诺索夫微分同胚,Anosov diffeomorphism,音标,读音,翻译,英文例句,英语词典

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1) Anosov diffeomorphism 点击朗读

阿诺索夫微分同胚

2) Anosov vector field 点击朗读

阿诺索夫向量场

3) diffeomorphism 点击朗读

微分同胚

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。

In the paper several counterexamples of diffeomorphism used in analysis are constructed. 点击朗读

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。

We mainly discuss that diffeomorphism can keep Poisson structure on Poisson manifold. 点击朗读

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

更多例句>>

4) diffeomorphic 点击朗读

微分同胚

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。

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。

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。

更多例句>>

5) CR diffeomorphism 点击朗读

CR微分同胚

Every smooth CR homeomorphism from a real hypersurface of finite type to a real hypersurface in C~n is a CR diffeomorphism.

证明了Cn中有限型实超曲面到另一个实超曲面的每一个光滑CR同胚必定是CR微分同胚。

6) diffeomorphism group 点击朗读

微分同胚群

补充资料：阿诺索夫

　　俄国冶金学家。1817年毕业于彼得堡矿业武备学校(彼得堡矿业学院的前身)，在生产熟铁的工厂里工作了近三十年。他对采矿、渗碳炼钢都有创造性贡献。1841年他发明浸蚀剂，揭示了大马士革钢的制作技术。阿诺索夫研究过各种元素（包括金、铂）在铁中的作用和大马士革钢（见冶金史）的组织。他对金属和合金的化学成分、组织与其性能关系的学说作出贡献。阿诺索夫是早期用放大镜研究钢和合金组织的学者之一(见金属学)。
　　

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

微分同胚不变性微分同胚约束微分同胚共轭微分同胚正规形局部微分同胚微分同胚映射解析微分同胚

Anosov微分同胚阿索卡诺阿巴索夫微分同胚变换扭转微分同胚

说明：双击或选中下面任意单词，将显示该词的音标、读音、翻译等；选中中文或多个词，将显示翻译。
	您的位置：首页 -> 词典 -> 阿诺索夫微分同胚 1) Anosov diffeomorphism 阿诺索夫微分同胚 2) Anosov vector field 阿诺索夫向量场 3) 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函数这一有用的定更多例句>> 4) 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。更多例句>> 5) CR diffeomorphism CR微分同胚 1. Every smooth CR homeomorphism from a real hypersurface of finite type to a real hypersurface in C~n is a CR diffeomorphism. 证明了Cn中有限型实超曲面到另一个实超曲面的每一个光滑CR同胚必定是CR微分同胚。 6) diffeomorphism group 微分同胚群补充资料：阿诺索夫　　俄国冶金学家。1817年毕业于彼得堡矿业武备学校(彼得堡矿业学院的前身)，在生产熟铁的工厂里工作了近三十年。他对采矿、渗碳炼钢都有创造性贡献。1841年他发明浸蚀剂，揭示了大马士革钢的制作技术。阿诺索夫研究过各种元素（包括金、铂）在铁中的作用和大马士革钢（见冶金史）的组织。他对金属和合金的化学成分、组织与其性能关系的学说作出贡献。阿诺索夫是早期用放大镜研究钢和合金组织的学者之一(见金属学)。　　说明：补充资料仅用于学习参考，请勿用于其它任何用途。参考词条微分同胚不变性微分同胚约束微分同胚共轭微分同胚正规形局部微分同胚微分同胚映射解析微分同胚

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