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Department of Mathematics,
University of California San Diego


MATH 258 - Differential Geometry Seminar

Brett Kotschwar


Backward propagation of warped-product structures under the Ricci flow and asymptotically conical shrinkers


We establish sufficient conditions for a locally-warped product structure to propagate backward in time under the Ricci flow. As an application, we show that if a gradient shrinking soliton is asymptotic to a cone whose cross-section is a locally warped product of Einstein manifolds, the soliton must itself be a warped product over the same manifolds.

May 19, 2022

11:00 AM

Zoom ID 924 6512 4982