oriented compact manifold [数] 定向紧流形
conformally compact manifold 共形紧致流形
two-dimensional compact manifold 紧致二维流形
compact manifold without boundary 紧致无边流形
compact complex manifold [数] 紧复流形
compact homology manifold 紧同调流形 ; 紧同调
compact Riemannian manifold 紧黎曼流形
compact almost complex manifold [数] 紧殆复流形
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。
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