Uniqueness of H-surfaces in H^2xR, |H| <= 1/2, with boundary one or two parallel horizontal circles

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dc.creatorNelli, B.
dc.creatorEarp, R. Sa
dc.creatorSantos, W.
dc.creatorToubiana, E.
dc.date2007-03-02
dc.date.accessioned2026-07-07T07:49:53Z
dc.date.available2026-07-07T07:49:53Z
dc.descriptionWe prove that a H-surface M in H^2xR, |H| <= 1/2, inherits the symmetries of its boundary when the boundary is either a horizontal curve with curvature greater than one or two parallel horizontal curves with curvature greater than one, whose distance is greater or equal to πFurthermore we prove that the asymptotic boundary of a surface with mean curvature bounded away from zero consists of parts of straight lines, provided it is sufficiently regular
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0703054
dc.identifierhttp://arxiv.org/abs/math/0703054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124988
dc.subjectDifferential Geometry
dc.subject53C42
dc.titleUniqueness of H-surfaces in H^2xR, |H| <= 1/2, with boundary one or two parallel horizontal circles
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