The relations between topological mixingand topological exact of maps on one-dimensional compactmanifold 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。
2
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。
3
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.