U.S.-Mexico Collaborative Research: Study of Geometric and Topological Structures of Foliated Manifolds

小行星9600468 该美洲计划奖将支持芝加哥大学的Albert Candel博士和墨西哥国立政治学院（IPN）的Escuela上级数学和财务学院的Raul基罗加Barranco博士之间的合作研究。 这个项目的目标是研究具有各种微分几何性质的特定拓扑空间的同态。 具体地说，研究人员感兴趣的是叶状流形，其中有几何结构，无论是沿着叶或在横向方向。 一个紧凑的叶状流形与这种结构可以被认为是一个适当的候选人，以扩大各种定理刚性几何结构，建立，在这个过程中，Mostow-Margulis型刚性结果的叶状。 在这些考虑中，基本群和叶理的伸展将发挥重要作用。 ***

9600468 Candel This Americas Program award will support cooperative research between Dr. Albert Candel, University of Chicago, and Dr. Raul Quiroga Barranco of the Escuela Superior de Fisica y Matematicas, Instituto Politecnico Nacional, (IPN), in Mexico. The goal of this project is to study homomorphisms of specific topological spaces with various differential geometry properties. Specifically, the researchers are interested in foliated manifolds for which there are geometric structures either along the leaves or in the transverse direction. A compact foliated manifold with such structures can be considered an adequate candidate to extend various theorems concerning rigid geometric structures, establishing, in the process, Mostow-Margulis type rigidity results for foliations. In these considerations, the fundamental group and the stretch of a foliation will play an important role. ***