Publikation: Mean curvature flow in asymptotically flat product spacetimes
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2021
Autor:innen
Kröncke, Klaus
Lindblad Petersen, Oliver
Lubbe, Felix
Marxen, Tobias
Meiser, Wolfgang
Szabó, Áron
Vertman, Boris
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The Journal of Geometric Analysis. Springer. 2021, 31, pp. 5451-5479. ISSN 1050-6926. eISSN 1559-002X. Available under: doi: 10.1007/s12220-020-00486-z
Zusammenfassung
We consider the long-time behaviour of the mean curvature flow of spacelike hypersurfaces in the Lorentzian product manifold M×R, where M is asymptotically flat. If the initial hypersurface F0⊂M×R is uniformly spacelike and asymptotic to M×{s} for some s∈R at infinity, we show that the mean curvature flow starting at F0 exists for all times and converges uniformly to M×{s} as t→∞.
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530 Physik
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mean curvature flow, asymptotically flat manifolds, static spacetimes
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KRÖNCKE, Klaus, Oliver LINDBLAD PETERSEN, Felix LUBBE, Tobias MARXEN, Wolfgang MAURER, Wolfgang MEISER, Oliver C. SCHNÜRER, Áron SZABÓ, Boris VERTMAN, 2021. Mean curvature flow in asymptotically flat product spacetimes. In: The Journal of Geometric Analysis. Springer. 2021, 31, pp. 5451-5479. ISSN 1050-6926. eISSN 1559-002X. Available under: doi: 10.1007/s12220-020-00486-zBibTex
@article{Kroncke2021curva-47071, year={2021}, doi={10.1007/s12220-020-00486-z}, title={Mean curvature flow in asymptotically flat product spacetimes}, volume={31}, issn={1050-6926}, journal={The Journal of Geometric Analysis}, pages={5451--5479}, author={Kröncke, Klaus and Lindblad Petersen, Oliver and Lubbe, Felix and Marxen, Tobias and Maurer, Wolfgang and Meiser, Wolfgang and Schnürer, Oliver C. and Szabó, Áron and Vertman, Boris} }
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