Unitarization of monodromy representations and constant mean curvature trinoids in 3-dimensional space forms

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dc.creatorSchmitt, N
dc.creatorKilian, M
dc.creatorKobayashi, S-P
dc.creatorRossman, W
dc.date2004-03-22
dc.date2006-09-11
dc.date.accessioned2026-07-07T08:32:25Z
dc.date.available2026-07-07T08:32:25Z
dc.descriptionWe present a theorem on the unitarizability of loop group valued monodromy representations and apply this to show the existence of new families of constant mean curvature surfaces homeomorphic to a thrice-punctured sphere in the simply-connected 3-dimensional space forms $\R^3$, $\bbS^3 $ and $\bbH^3$. Additionally, we compute the extended frame for any associated family of Delaunay surfaces.
dc.description18 pages, revised version
dc.identifierhttps://arxiv.org/abs/math/0403366
dc.identifierhttp://arxiv.org/abs/math/0403366
dc.identifierJ. London Math. Soc. (2) 75 (2007), 563-581.
dc.identifierdoi:10.1112/jlms/jdm005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138790
dc.subjectDifferential Geometry
dc.subject53A10
dc.titleUnitarization of monodromy representations and constant mean curvature trinoids in 3-dimensional space forms
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