Event
On CMC-foliations of asymptotically Euclidean manifolds| Title of the event | On CMC-foliations of asymptotically Euclidean manifolds |
| Series | MathematischeGesellschaft |
| Organizer | Mathematisches Institut |
| Speaker | Prof. Dr. Carla Cederbaum |
| Speaker institution | Fachbereich Mathematik, Universität Tübingen |
| Type of event | Kolloquium |
| Category | Forschung |
| Registration required | Nein |
| Details | Three-dimensional Riemannian manifolds are called asymptotically Euclidean if, outside a compact set, they are diffeomorphic to the exterior region of a ball in Euclidean space, and if the Riemannian metric converges to the Euclidean metric as the Euclidean radial coordinate r tends to infinity. In 1996, Huisken and Yau proved existence of a foliation by constant mean curvature (CMC) surfaces in the asymptotic end of an asymptotically Euclidean Riemannian three-manifold. Their work has inspired the study of various other foliations in asymptotic ends, most notably the foliations by constrained Willmore surfaces (Lamm—Metzger—Schulze) and by constant expansion/null mean curvature surfaces in the context of asymptotically Euclidean initial data sets in General Relativity (Metzger, Nerz). After a rather extensive introduction of the central concepts and ideas, I will present a new foliation by constant spacetime mean curvature surfaces (STCMC), also in the context of asymptotically Euclidean initial data sets in General Relativity (joint work with Sakovich). This STCMC-foliation is well-suited to define the center of mass of an isolated system in General Relativity and thereby answers some previously open questions of relevance in General Relativity. |
| Date | Start: 09.01.2020, 16:15 Uhr Ende: 09.01.2020 , 17:15 Uhr |
| Location |
Mathematisches Institut (Bunsenstr 3-5) Sitzungszimmer |
| Contact |
0551-3927752 annalena.wendehorst@mathematik.uni-goettingen.de |