Wilhelm Killing Kolloquium: Prof. Dr. Felix Schulze (University of Warwick): Compactness of 3-dimensional Ricci-pinched manifolds

Thursday, 10.11.2022 14:15 im Raum M5

Mathematik und Informatik

The classical Bonnet-Myers theorem in differential geometry states that a Riemannian manifold whose Ricci curvature is greater or equal to one everywhere has to be compact. A natural question is if the condition on the Ricci curvature can be relaxed such that it still yields compactness. A conjecture of Hamilton states that this should hold in 3 dimensions if the Ricci tensor is uniformly pinched. We will discuss the motivation and a recent proof of this conjecture and how this is related to initial stability questions for the Ricci flow. This is joint work with A. Deruelle (Paris) and M. Simon (Magdeburg).

Angelegt am Tuesday, 18.10.2022 11:39 von cauri_01
Geändert am Monday, 31.10.2022 08:41 von cauri_01
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Vorträge des SFB 1442
Kolloquium Wilhelm Killing