Mathematical Sciences: Geometry and Topology of Riemannian Manifolds

数学科学：黎曼流形的几何和拓扑

• 批准号: 9303491
• 负责人: Karsten Grove
• 金额: $ 14.91万
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-06-01 至 1996-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9303491&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Geometry; Topology; Riemannian

The proposed research will cover the study of singular spaces in Riemannian geometry. In particular, a continued study of the geometry of Alexandrov spaces relative to the Gromov- Hausdorff limit resulting from isometric group actions. Applications to structural and recognition problems via metric invariants , will be pursued.

拟议的研究将涵盖黎曼几何中奇异空间的研究。 特别是，继续研究亚历山德罗夫空间的几何形状相对于等距群作用产生的格罗莫夫-豪斯多夫极限。 将通过度量不变量将其应用于结构和识别问题。