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Universität Augsburg
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Universität Augsburg
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Professor Dr. Carla Cederbaum
Universität Tübingen
spricht am
Dienstag, 21. Januar 2020
um
16:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
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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. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Maxim Smirnov |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).