Mean Curvature Flow in Asymptotically Flat Product Spacetimes
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- Mean Curvature Flow in Asymptotically Flat Product Spacetimes
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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⊂ M× R is uniformly spacelike and asymptotic to M× { s} for some s∈ R at infinity, we show that a mean curvature flow starting at F exists for all times and converges uniformly to M× { s} as t→ ∞.
Originalsprog | Engelsk |
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Tidsskrift | Journal of Geometric Analysis |
Vol/bind | 31 |
Udgave nummer | 6 |
Sider (fra-til) | 5451 - 5479 |
ISSN | 1050-6926 |
DOI | |
Status | Udgivet - 2021 |
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