Title：On the geometry of asymptotically flat manifolds

Speaker：李 宇   （Stony Brook University）

Time：2019年7月23日           上午  10:00-11:00

Room：东区管理科研楼  数学科学学院1308室

Abstract：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.

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