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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Differential Geometry Seminar
Brett Kotschwar
MIT
Backwards-uniqueness for the Ricci flow
Abstract:
I will discuss the problem of backwards-uniqueness or "unique-continuation" for the Ricci flow, and prove that two complete solutions $g(t)$, $\tilde{g}(t)$ to the Ricci flow on $[0, T]$ of uniformly bounded curvature that agree at $t=T$ must agree identically on $[0, T]$. A consequence is that the isometry group of a solution to the Ricci flow cannot expand in finite time.
Host: Ben Weinkove
May 14, 2009
3:00 PM
AP&M 6402
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