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.

建议的研究将涵盖黎曼几何中奇异空间的研究。特别是，关于Alexandrov空间相对于由等距群作用产生的Gromov-Hausdorff极限的几何的继续研究。将继续通过度量不变量在结构和识别问题上的应用。