Speaker
Huihong Jiang
(Shanghai Jiao Tong University)
Description
A manifold is said to be of finite topological type if it is homeomorphic to the interior of a compact manifold with boundary. In this talk, I will show that a complete $n$-dim Riemannian manifold with nonnegative Ricci curvature is of finite topological type provided that the diameter growth of $M$ is of order $o(r^{((n-1)\alpha+1)/n})$ and the sectional curvature is no less than $-{\frac{c}{r^{2\alpha}}}$ (here $0 \le \alpha \le 1$ and $c$ is some positive constant) outside a geodesic ball large enough. This can be considered as a generalization of Abresch-Gromoll Theorem. This is based on a joint work with Yihu Yang.
