Mathematical Sciences: The Geometry of Kleinian Groups and of Teichmuller Space

数学科学：克莱尼群和泰希米勒空间的几何

• 批准号: 8700642
• 负责人: Francis Bonahon
• 金额: $ 6.7万
• 依托单位: University of Southern California
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-06-15 至 1990-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8700642&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Geometry; Kleinian; Groups

Bonahon will study the classification problem for Kleinian groups. As a first step, he plans to investigate the topological type of the limit set of a Kleinian group. In a different but closely related domain, he wants to study the geometry of the Teichmuller space of a surface from the viewpoint of geodesic currents, which he has developed in some of his earlier work. These are classical problems of geometric analysis attacked by topological means. The methods developed will be widely appreciated in mathematics and neighboring disciplines.

Bonahon将为Kleinian研究分类问题 组 作为第一步，他计划研究拓扑 一个Kleinian群的极限集的类型。 在一个不同的， 他想研究的是宇宙的几何学， 从测地线的观点看曲面的Teichmuller空间 电流，他已经在他的一些早期工作开发。 这些都是几何分析的经典问题， 拓扑方法 开发的方法将广泛用于 在数学和邻近学科中受到赞赏。