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Journal Article

Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes

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Huisken,  Gerhard
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Huisken, G., & Ecker, K. (1999). Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes. Communications in Mathematical Physics, 135(3), 595-613.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-590A-E
Abstract
Spacelike hypersurfaces of prescribed mean curvature in cosmological space times are constructed as asymptotic limits of a geometric evolution equation. In particular, an alternative, constructive proof is given for the existence of maximal and constant mean curvature slices.