Mathematical Sciences: Geometry and Topology under Ricci Curvature Bounds

[409166]魏研究者研究了曲率界对黎曼流形局部几何结构和全局拓扑结构的影响。在紧化情况下，这包括了一个近椭圆流形的基本群的结构问题。对于开放流形，研究者主要研究非负Ricci曲率流形的结构，特别是它们何时具有有限拓扑类型的问题。＊＊＊

9409166 Wei The investigator study the effect of curvature bounds on the local geometric structure and global topology of a Riemannian manifold. In the compact case, this includes the question of the structure of the fundamental group of a near elliptic manifold. For open manifolds, the investigator are concentrating on the structures of manifolds with nonnegative Ricci curvature, especially the question when they will have finite topological type. ***