Foliations and the Geometry of 3-Manifolds
简介：
针对研究拓理学家的这一独特参考文献，对3流形的 “伪anosov” 理论进行了阐述。该理论概括了瑟斯顿的表面自同构理论，并揭示了三维动力学，几何和拓扑之间的紧密联系。贯穿全文的重要主题包括几何的重要性，尤其是表面的双曲线几何，单调性的重要性，尤其是在一维和协维动力学中，以及使用有限组合对象 (例如火车轨道) 的组合近似，分支的表面和层次结构来承载更复杂的连续对象。这本书的写作方式可能是每个对几何感兴趣的读者都能找到他/她感兴趣的东西。
英文简介：
This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions.
Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in 1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.
The book is written in such a way that probably every reader with some interest in geometry will be able to find something interesting for him/her.
- 书名
- Foliations and the Geometry of 3-Manifolds
- 译名
- 叶子层和三维流形的几何形状
- 语言
- 英语
- 年份
- 2007
- 页数
- 371页
- 大小
- 4.10 MB
- 标签
- 几何
- 数学
- 下载
Foliations and the Geometry of 3-Manifolds.pdf- 密码
- 65536
最后更新：2025-04-12 23:54:36