Mathematical Sciences: Classical and Differential Geometry

数学科学：经典和微分几何

• 批准号: 9311673
• 负责人: Wu-Yi Hsiang
• 金额: $ 10.7万
• 依托单位: University of California-Berkeley
• 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: 1993-07-01 至 1997-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9311673&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Classical; Differential; Geometry

The research entails studying problems concerned with the optimal density of sphere packings in Euclidean spaces and the geometry of spherical simplexes and volumes. Further investigations will me made into the nature of classes of minimal submanifolds in Riemannian symmetric spaces. Besides having applications to other branches of mathematics, the techniques involved may have applications to processes in manufacturing and in materials theory.

该研究涉及研究有关问题的最佳密度的球填充在欧几里德空间和几何的球形单形和体积。 进一步研究了黎曼对称空间中极小子流形类的性质。 除了应用于数学的其他分支之外，所涉及的技术还可以应用于制造过程和材料理论。