Unitarization of monodromy representations and constant mean curvature trinoids in 3-dimensional space forms |
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Authors: | Schmitt N; Kilian M; Kobayashi S-P; Rossman W |
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Affiliation: | 1 Institut für Mathematik Technische Universität Berlin 10623 Berlin Germany
2 Mathematical Sciences University of Bath Bath, BA2 7AY United Kingdom
3 School of Information Environment Tokyo Denki University Chiba 270-1382 Japan
4 Department of Mathematics Kobe University Rokko Kobe 657-8501 Japan |
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Abstract: | A theorem on the unitarizability of loop group valued monodromyrepresentations is presented and applied to show the existenceof new families of constant mean curvature surfaces homeomorphicto a thrice-punctured sphere in the simply connected 3-dimensionalspace forms 3, 3 and 3. Additionally, the extended frame forany associated family of Delaunay surfaces is computed. |
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