5-10【Tianyue Liu】Toric Einstein 4-manifolds with nonnegative sectional curvature

发布时间:2024-04-11来源:几何与物理研究中心中文网页浏览次数:10

报告人:Tianyue Liu(宾夕法尼亚大学)

时间:2024年5月10日 09:30-10:30

地点:腾讯会议号:942 663 0176,无需密码


  

We study some interesting curvature properties of Einstein 4 manifolds in the presence of symmetry. In particular, we show that the only $T^2$ invariant Einstein metrics with nonnegative sectional curvature on closed 1-connected four manifolds are the known examples: the round metric on $S^4$, the Fubini-Study metric on $\C P^2$, or the product metric on $S^2\times S^2$.