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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138790We 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.18 pages, revised versionDifferential Geometry53A10Unitarization of monodromy representations and constant mean curvature trinoids in 3-dimensional space formstext