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

这个项目是在北卡罗来纳大学教堂山分校举行的一个特别研究年，研究负曲率流形和微分系统。除了国家科学基金会的支持外，数学系还为该项目提供了一名高级访问学者、一名为期两年的讲师和一名为期一年的访问学者的薪水。研究活动将集中在两个方面的问题：(1)负曲率流形；(2)微分系统。前者将包括秩1流形的结构和紧非正弯曲流形的几何性质，这些性质可以用基本群的代数性质来表示。后者的研究活动将集中在等效和外部微分系统的方法与应用领域，包括非线性最优控制理论

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