The Penrose inequality in extrinsic geometry
Event details
| Date | 06.03.2026 |
| Hour | 14:15 |
| Speaker | Dr. Thomas Koerber (University of Vienna) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
Abstract: Complete embedded minimal surface with integrable Gauss curvature such as the plane and the catenoid are fundamental objects in geometry. In this talk, I will show that the asymptotic slope of such a surface is bounded from below in an optimal way by a systolic quantity called the neck-size. A consequence of this inequality is a new characterization of the catenoid purely in terms of its extrinsic properties. This result confirms a conjecture of G. Huisken and can be viewed as an analog in extrinsic geometry of the Riemannian Penrose inequality in mathematical relativity. The proof is based on an analysis of so-called minimal capillary surfaces, which are compact minimal surfaces that intersect a given complete embedded minimal surface with integrable Gauss curvature at a constant angle. This is joint work with M. Eichmair.
Practical information
- General public
- Free
Organizer
- Dr. David Sebastian Wallauch