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
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。
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)。