Mathematical Sciences: Geometric Superrigidity and Compactification of Kahler Manifolds

数学科学：卡勒流形的几何超刚性和紧致化

• 批准号: 9204314
• 负责人: Sai Kee Yeung
• 金额: $ 6.22万
• 依托单位: Purdue Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-06-01 至 1995-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9204314&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Geometric; Superrigidity; Compactification

The principal investigator will study geometric rigidity and related problems from harmonic maps. The Kodaira-Bochner formulae on submanifolds will be related to the formulae on the ambient manifold. In addition the principal investigator will continue his work on compactification of Kahler manifolds that satisfy certain curvature conditions. This award will support research in the general area of differential geometry and global analysis. Differential geometry is the study of the relationship between the geometry of a space and analytic concepts defined on the space. Global analysis is the study of the overall geometric and topological properties of a space by piecing together local information. Applications of these areas of mathematics in other sciences include the structure of complicated molecules, liquid-gas boundaries, and the large scale structure of the universe.

主要研究者将研究几何刚度， 调和映射的相关问题。Kodaira-Bochner公式 子流形上的公式将与周围的公式有关。 歧管此外，首席研究员将继续 他关于Kahler流形紧化的工作满足 一定的曲率条件 该奖项将支持一般领域的研究， 微分几何和全局分析。微分几何 是研究空间的几何形状 和空间上定义的分析概念。全球分析是 对物体的整体几何和拓扑性质的研究 一个空间，通过拼凑当地的信息。的应用 这些数学领域的其他科学包括 复杂的分子结构，液-气边界， 宇宙的大尺度结构