Oberseminar Differentialgeometrie: Miles Simon (Universität Magdeburg), Vortrag: Initial stability estimates for Ricci flow and three dimensional Ricci-pinched manifolds

Monday, 12.12.2022 16:15 im Raum SRZ 214

Mathematik und Informatik

Abstract: n this talk we examine the Ricci flow of initial metric spaces which are Reifenberg and locally bi-Lipschitz to Euclidean space. We show that any two solutions starting from such an initial metric space, whose Ricci curvatures are uniformly bounded from below and whose curvatures are bounded by $c\cdot t^{-1}$, are exponentially in time close to one another in the appropriate gauge. As an application, we show that smooth three dimensional, complete, uniformly Ricci-pinched Riemannian manifolds with bounded curvature are either compact or flat, thus confirming a conjecture of Hamilton and Lott.

Angelegt am Monday, 24.10.2022 10:24 von shupp_01
Geändert am Monday, 24.10.2022 10:24 von shupp_01
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