Mathematical Sciences: Discrete Groups and the Geometry of Complex Hyperbolic Space

数学科学：离散群和复双曲空间的几何

• 批准号: 9404174
• 负责人: Ara Basmajian
• 金额: $ 5.5万
• 依托单位: University of Oklahoma Norman Campus
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-01 至 1999-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9404174&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Discrete; Groups; Geometry

9404174 Miner The scope of the research entails problems related to the geometry and topology of complex hyperbolic spaces and group actions on these. Curvature invariants can be used to distinguish between certain equivalences classes of manifolds modeled on the boundary of the latter. Further questions concerning the geometry of Heisenberg space will be pursued. This research may have potential applications to mathematical physics. ***

9404174 Miner研究的范围涉及与复杂双曲空间的几何和拓扑以及在这些空间上的群体行动有关的问题。曲率不变量可用于区分在流形边界上建模的某些等价类流形。关于海森堡空间几何的更多问题将被继续探讨。这项研究可能会在数学物理中有潜在的应用。***