07-23【李宇】On the geometry of asymptotically flat manifolds

发布时间:2019-07-19来源:几何与物理研究中心中文网页浏览次数:160

报告人:李宇 (Stony Brook University)

时间:2019年7月23日 10:00-11:00

地点:管理科研楼1308教室



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.