Simultaneous unitarizability of SL_n(C)-valued maps, and constant mean curvature k-noid monodromy

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159714We give necessary and sufficient local conditions for the simultaneous unitarizability of a set of analytic matrix maps from an analytic 1-manifold into SL_n(C) under conjugation by a single analytic matrix map. We apply this result to the monodromy arising from an integrable partial differential equation to construct a family of k-noids, genus-zero constant mean curvature surfaces with three or more ends in Euclidean, spherical and hyperbolic 3-spaces.Differential Geometry53A10Simultaneous unitarizability of SL_n(C)-valued maps, and constant mean curvature k-noid monodromytext