The relations between topological mixingand topological exact of maps on one-dimensional compact manifold are discussed and a few conditions of topological mixing turning into exact are given.
讨论了一维自映射中拓扑混合与拓扑正合的关系，得到了拓扑混合映射成为拓扑正合的几个条件。
Also, the paper discuss the existence of the infinite closed geodesics of a compact no-simply connected Riemannian manifold.
并由此讨论了紧致的非单连通黎曼流形上无穷多的闭测地线存在性问题。
This note takes a sketch of a proof of a characterization theorem for diffeomorphisms oa a compact 3-dimensional smooth manifold to be structurally stable.
本文摘要叙述有关三维紧致光滑流形上结构稳定的微分同胚的一个特征性定理的证明。
Let m be a compact and connected Riemannian manifold.
设m是紧致连通的黎曼流形。
By changing design of the pressure stabilizing cavity and the intake pipe channel, freedom in shape design of the channels is improved, and the structure of the manifold is more compact.
通过改变稳压腔和进气管通道的设计，提高气道形状设计的自由度，使得歧管结构更加紧凑。
The lower bound of the first eigenvalue on compact Riemann manifold;
给出了一类黎曼浸没在全空间中第一特征值的下界估计。
The lower bound of the first eigenvalue on compact Riemann manifold;
给出了一类黎曼浸没在全空间中第一特征值的下界估计。
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