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

Schmitt, N; Kilian, M; Kobayashi, S-P; Rossman, W

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

Authors

Description

We 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 version