Mathematical Sciences: Geometric Evolution Equations

数学科学：几何演化方程

• 批准号: 9401106
• 负责人: Rugang Ye
• 金额: --
• 依托单位: University of California-Santa Barbara
• 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: 1994-08-01 至 1996-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9401106&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Geometric; Evolution; Equations

9401106 Ye The scope of the research centers around the study of classes of geometric evolution equations. The equations in question characterize flow systems relating to Ricci curvature, Yang-Mills gradient and harmonic maps as some of the types. It is also intended to outline constructions of Einstein metrics on manifolds in certain cases. The research may have potential applications to gauge theory and general relativity theory in mathematical physics. ***

9401106 叶 研究范围围绕几何演化方程类的研究。所讨论的方程描述了与 Ricci 曲率、Yang-Mills 梯度和调和图相关的流动系统的一些类型。它还旨在概述某些情况下流形上的爱因斯坦度量的构造。该研究可能在数学物理中的规范理论和广义相对论中具有潜在的应用。 ***