Mean curvature flow in asymptotically flat product 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, 2020. Mean curvature flow in asymptotically flat product spacetimes. In: The Journal of Geometric Analysis. ISSN 1050-6926. eISSN 1559-002X. Available under: doi: 10.1007/s12220-020-00486-z

@article{Kroncke2020curva-47071, title={Mean curvature flow in asymptotically flat product spacetimes}, year={2020}, doi={10.1007/s12220-020-00486-z}, issn={1050-6926}, journal={The Journal of Geometric Analysis}, 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} }

Lubbe, Felix Meiser, Wolfgang Schnürer, Oliver C. 2019-09-27T12:56:27Z Kröncke, Klaus Marxen, Tobias Maurer, Wolfgang 2020 Vertman, Boris Lubbe, Felix Marxen, Tobias eng Kröncke, Klaus Szabó, Áron Szabó, Áron Mean curvature flow in asymptotically flat product spacetimes 2019-09-27T12:56:27Z 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 F<sub>0</sub>⊂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 F<sub>0</sub> exists for all times and converges uniformly to M×{s} as t→∞. Lindblad Petersen, Oliver Vertman, Boris Meiser, Wolfgang Schnürer, Oliver C. Maurer, Wolfgang Lindblad Petersen, Oliver

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