05-10【Tianyue Liu】腾讯会议 Geometry&Topology Seminar系列讲座之096

发布者:王欣发布时间:2024-05-06浏览次数:10

报告题目: Toric Einstein 4-manifolds with nonnegative sectional curvature

报告人Tianyue Liu(宾夕法尼亚大学)

时间:2024年5月10日,上午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 $S^2\times S^2$.

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