论文标题
拓扑，几何，全局分析和动态的几何结构
Geometric structures in Topology, Geometry, Global Analysis and Dynamics
论文作者
论文摘要
在瑟斯顿（Thurston）在第三维中的几何形态图片之后，我们在更通用的环境中以任意维度进行了几何歧管，相对于以下问题：（i）存在非零程度（统治关系或格罗莫夫的顺序）的图； （ii）数值同质性不变性相对于统治关系的Gromov-Thurston单调性问题； （iii）Anosov差异的存在（Anosov-Smale猜想）。
Following Thurston's geometrisation picture in dimension three, we study geometric manifolds in a more general setting in arbitrary dimensions, with respect to the following problems: (i) The existence of maps of non-zero degree (domination relation or Gromov's order); (ii) The Gromov-Thurston monotonicity problem for numerical homotopy invariants with respect to the domination relation; (iii) The existence of Anosov diffeomorphisms (Anosov-Smale conjecture).
