CRM: Centro De Giorgi
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A Pisan workshop in geometric analysis

Inverse mean curvature flow and Ricci-pinched three-manifolds

speaker: Thomas Körber (Universität Wien)

abstract: 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.

Fri 22 Sep, 9:30 - 10:30, Aula Dini
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