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

By N. Schmitt, Martin Kilian, Shimpei Kobayashi, W. Rossman. 2004

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A theorem on the unitarizability of loop group valued monodromy representations is presented and applied 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 ℝ3, 𝕊3 and ℍ3. Additionally, the extended frame for any associated family of Delaunay surfaces is computed.

Subfields: Applied Mathematics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6ee5bdda44e94746e3c852fa3509c14d29a117a4