Volume preserving mean curvature flow in the Hyperbolic space

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dc.creatorCabezas-Rivas, Esther
dc.creatorMiquel, Vicente
dc.date2006-11-08
dc.date.accessioned2026-07-07T07:32:38Z
dc.date.available2026-07-07T07:32:38Z
dc.descriptionWe prove: "If $M$ is a compact hypersurface of the hyperbolic space, convex by horospheres and evolving by the volume preserving mean curvature flow, then it flows for all time, convexity by horospheres is preserved and the flow converges, exponentially, to a geodesic sphere". In addition, we show that the same conclusions about long time existence and convergence hold if $M$ is not convex by horospheres but it is close enough to a geodesic sphere.
dc.identifierhttps://arxiv.org/abs/math/0611216
dc.identifierhttp://arxiv.org/abs/math/0611216
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119181
dc.subjectDifferential Geometry
dc.titleVolume preserving mean curvature flow in the Hyperbolic space
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