Speaker: Yu Li (Stony Brook University)
Time: 10:00-11:00, July 23, 2019
Room: 1308, Management building
In this talk, we show that any asymptotically flat manifold with controlled holonomy admits a refined torus fibration over an ALE manifold. In addition, we prove that any complete asymptotically flat Ricci-flat metric on $\mathbb R^4$ must be isometric to the Euclidean or the Taub-NUT metric, provided that the tangent cone at infinity is not $\mathbb R \times \mathbb R_+$. This is joint work with Xiuxiong Chen.