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Unitarization of monodromy representations and constant mean curvature trinoids in 3-dimensional space forms
Authors:Schmitt  N; Kilian  M; Kobayashi  S-P; Rossman  W
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
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 R3, S3 and H3. Additionally, the extended frame forany associated family of Delaunay surfaces is computed.
Keywords:
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