Donnerstag, 13.11.2025: Volume preserving mean curvature flow in asymptotically flat spaces
Jacopo Tena (Rome)
In this talk, I will discuss relations between curvature flows and foliations of asymptotically flat manifolds. Firstly, I will extend to the asymptotically flat setting a classical result by Huisken-Yau which allows one to construct a constant mean curvature foliation of the outer part of the manifold by an alternative approach to those by Nerz and Eichmair-Koerber. This is a joint work with C. Sinestrari. Secondly, I will provide an alternative construction of the constant spacetime-mean curvature foliation of an initial data set by Cederbaum-Sakovich by introducing a (volume preserving) fully nonlinear mean curvature flow whose speed takes into account the non-time-symmetric nature of the ambient.
| Uhrzeit: |
14:00 - 15:30 |
| Ort: |
C4H33 |
| Gruppe: |
Oberseminar GADR |
| Einladender: |
Cederbaum, Huisken, Metzger (Potsdam) |
