Mathematical Sciences: Research Support for Differential Geometry

主要研究人员将继续他们的研究， 拓扑学与微分学交叉学科 几何特别是他们将研究拓扑方面的 Monge-Ampere叶理，同伦的调和表示 类之间的地图领域，和爱因斯坦度量四个 流形该奖项将支持校长的旅行 研究人员、研究生和杜兰大学的游客 大学 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

The principal investigators will continue their research in the cross disciplinary area of topology and differential geometry. In particular they will study topological aspects of Monge-Ampere foliations, harmonic representatives of homotopy classes of maps between spheres, and Einstein metrics on four manifolds. The award will support travel for the principal investigators, graduate students, and visitors to Tulane University. 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.