Inverse mean curvature flow and Ricci-pinched three-manifolds

17.10.2023 09:45 - 11:15

Thomas Körber (University of Vienna)

Let (M,g) be a complete, connected, non-compact Riemannian three-manifold that is Ricci-pinched. In this talk, I will present a new proof based on inverse mean curvature flow that (M,g) is either flat or has sub-quadratic volume growth. As a consequence, we obtain a new proof of a conjecture of R. Hamilton recently proven by A. Deruelle, F. Schulze, and M. Simon using Ricci flow. This is joint work with Gerhard Huisken.


A. Mellit, B. Szendroi, V. Vertesi

OMG1 02.612