Monodromy of constant mean curvature surface in hyperbolic space

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dc.creatorPirola, Gian Pietro
dc.date2006-11-20
dc.date.accessioned2026-07-07T07:33:09Z
dc.date.available2026-07-07T07:33:09Z
dc.descriptionWe give a global version of the Bryant representation of surfaces of constant mean curvature one (cmc-1) in hyperbolic space. This allows to set the associated non-abelian period problem in the framework of flat unitary vector bundles on Riemann surfaces. We use this machinery to prove the existence of certain cmc-1 surfaces having prescribed global monodromy.
dc.description22 pages, to appear in The Asian Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/math/0611611
dc.identifierhttp://arxiv.org/abs/math/0611611
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119355
dc.subjectDifferential Geometry
dc.subject58E15
dc.titleMonodromy of constant mean curvature surface in hyperbolic space
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