A Free Boundary Isoperimetric Problem in the Hyperbolic Space between parallel horospheres

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dc.creatorChaves, Rosa
dc.creatorPedrosa, Renato
dc.creatorSilva, Marcio
dc.date2008-11-06
dc.date.accessioned2026-07-07T10:16:47Z
dc.date.available2026-07-07T10:16:47Z
dc.descriptionIn this work we investigate the following isoperimetric problem: to find the regions of prescribed volume with minimal boundary area between two parallel horospheres in hyperbolic 3-space (the area of the part of the boundary contained in the horospheres is not included). We reduce the problem to the study of rotationally invariant regions and obtain the possible isoperimetric solutions by studying the behaviour of the profile curves of the rotational surfaces with constant mean curvature in the hyperbolic space.
dc.identifierhttps://arxiv.org/abs/0811.1046
dc.identifierhttp://arxiv.org/abs/0811.1046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173632
dc.subjectDifferential Geometry
dc.subject53A10
dc.titleA Free Boundary Isoperimetric Problem in the Hyperbolic Space between parallel horospheres
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