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Title (deu)
Schoen's conjecture for limits of isoperimetric surfaces
Speaker / Lecturer
Thomas Körber
Description (deu)
This talk was part of the Workshop on "Mathematical Relativity: Past, Present, Future" held at the ESI December 4 — 7, 2023. R. Schoen has conjectured that an asymptotically flat Riemannian n-manifold (M,g) with non-negative scalar curvature is isometric to Euclidean space if it admits a non-compact area-minimizing hypersurface. This has been confirmed by O. Chodosh and M. Eichmair in the case where n=3. In this talk, I will present recent work with M. Eichmair where we confirm this conjecture in the case where 3<n<8 and the area-minimizing hypersurface arises as the limit of large isoperimetric hypersurfaces. By contrast, we show that a large part of spatial Schwarzschild of dimension 3<n<8 is foliated by non-compact area-minimizing hypersurfaces.
Keywords (deu)
MathematicsYvonne Choquet-BruhatCauchy problemEinstein equations
Subject (eng)
ÖFOS 2012 -- 1010 -- Mathematics
Type (eng)
Language
[eng]
Persistent identifier
https://phaidra.univie.ac.at/o:2041848
Date created
2023-12-04
Place of creation (eng)
ESI
Duration
56 minutes 30 seconds
Content
Details
Object type
Video
Format
video/mp4
Created
11.01.2024 11:56:20