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Integral curvature pinching and the Ricci flow


Speaker: Eric Chen, UC Berkeley
Location: 2112 MSB
Start time: Tue, Apr 19 2022, 1:10PM

Curvature pinching conditions can imply topological conclusions about manifolds. Starting from Hamilton's proof that closed three-manifolds of pointwise positive Ricci curvature must be spherical space forms, a number of such pinching results have been obtained using the Ricci flow. I will discuss how pointwise pinching can be generalized to critical, scale-invariant integral curvature pinching in several cases by using consequences of properties of Perelman's W-functional. This is joint work with Guofang Wei and Rugang Ye.