Power Mean Curvature Flow in Lorentzian Manifolds

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dc.creatorLi, Guanghan
dc.creatorSalavessa, Isabel M. C.
dc.date2006-02-13
dc.date.accessioned2026-07-07T07:03:22Z
dc.date.available2026-07-07T07:03:22Z
dc.descriptionWe 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 $p\in (0,1]$, 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.
dc.descriptionLatex
dc.identifierhttps://arxiv.org/abs/math/0602268
dc.identifierhttp://arxiv.org/abs/math/0602268
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108945
dc.subjectDifferential Geometry
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAnalysis of PDEs
dc.subjectPrimary: 53C44, 53C21; Secondary: 58J35, 83E99
dc.titlePower Mean Curvature Flow in Lorentzian Manifolds
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