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Sandra Huppert

Oberseminar Differentialgeometrie: Huy Nguyen (London): High codimension mean curvature flow and surgery

Monday, 13.01.2020 16:15 im Raum SR4

Mathematik und Informatik

In this talk we will consider mean curvature flow in high codimension with surgery under a quadratic curvature pinching condition. We will show that the Huisken-Sinestrari surgery procedure extends to this situation, that is we can flow through singularities mean curvature flow by suitably modifying the mean curvature flow by surgeries. As a result we can show that high codimension submanifolds with this pinching condition are topologically a connected sums of tori ($S^{n-1}\times S^1$ or a sphere $S^n$.



Angelegt am Wednesday, 18.12.2019 11:16 von Sandra Huppert
Geändert am Wednesday, 18.12.2019 11:16 von Sandra Huppert
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