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- W1547661895 abstract "We study the motion of an $n$-dimensional closed spacelike hypersurface in a Lorentzian manifold in the direction of its past directed normal vector, where the speed equals a positive power $p$ of the mean curvature. We prove that for any $pin (0,1]$, the flow exists for all time when the Ricci tensor of the ambient space is bounded from below on the set of timelike unit vectors. Moreover, if we assume that all envolving hypersurfaces stay in a precompact region, then the flow converges to a stationary maximum spacelike hypersurface." @default.
- W1547661895 created "2016-06-24" @default.
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- W1547661895 date "2006-02-13" @default.
- W1547661895 modified "2023-09-27" @default.
- W1547661895 title "Power Mean Curvature Flow in Lorentzian Manifolds" @default.
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