论文标题
反de保姆几何和Teichmüller理论
Anti-de Sitter geometry and Teichmüller theory
论文作者
论文摘要
这些笔记的目的是提供对抗DE保姆的几何形状的介绍，特别强调了第三维和与Teichmüller理论的关系，其研究是由1990年的Geoffrey Mess的开创性论文发起的。在第一部分，我们对抗De的几何学进行了广泛的介绍。第二部分处理混乱的主要结果，包括将最大全球双曲线曲折歧管的分类和高斯图的构造的分类。最后，第三部分包含在Mess工作后开发的相关结果，目的是概述最先进的结果。
The aim of these notes is to provide an introduction to Anti-de Sitter geometry, with special emphasis on dimension three and on the relations with Teichmüller theory, whose study has been initiated by the seminal paper of Geoffrey Mess in 1990. In the first part we give a broad introduction to Anti-de Sitter geometry in any dimension. The main results of Mess, including the classification of maximal globally hyperbolic Cauchy compact manifolds and the construction of the Gauss map, are treated in the second part. Finally, the third part contains related results which have been developed after the work of Mess, with the aim of giving an overview on the state-of-the-art.
