Mathematical Sciences: Special Year in Manifolds of NegativeCurvature & Differential Systems

数学科学：负曲率流形的特殊年

• 批准号: 8702925
• 负责人: Patrick Eberlein
• 金额: $ 2.5万
• 依托单位: University of North Carolina at Chapel Hill
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-08-15 至 1989-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8702925&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Special; Year; Manifolds

This project is a special research year to be held at the University of North Carolina at Chapel Hill in manifolds of negative curvature and differential systems. In addition to National Science Foundation support, the Department of Mathematics is contributing the salaries of a senior visitor, a two-year instructor, and a one-year visitor to this project. The research activity will concentrate on problems in two areas: (1) manifolds of negative curvature, (2) differential systems. The former will include the structure of rank 1 manifolds and the geometric properties of compact nonpositively curved manifolds that can be expressed by the algebraic properties of the fundamental group. The latter research activity will be focused on the method of equivalence and exterior differential systems with applications in areas that include the theory of nonlinear optimal control

该项目是一个特殊的研究年，将在 位于查佩尔山的北卡罗来纳州大学 负曲率和微分系统除了 美国国家科学基金会的支持， 数学贡献了一位高级访问者的工资， 两年的讲师和一年的访问者。 研究活动将集中在两个问题上 面积：（1）负曲率流形，（2）微分 系统. 前者将包括秩1的结构 流形与紧非正流形的几何性质 可以用代数表示的曲流形 基本群的性质。 后一项研究 活动将侧重于等效方法， 外微分系统及其在以下领域的应用 包括非线性最优控制理论