Unitarization of monodromy representations and constant mean curvature trinoids in 3‐dimensional space forms
Unitarization of monodromy representations and constant mean curvature trinoids in 3‐dimensional space forms
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DOI：
10.1112/jlms/jdm005
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发表时间：
2004-03
期刊：
影响因子：
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通讯作者：
N. Schmitt;M. Kilian;Shimpei Kobayashi;W. Rossman
中科院分区：
文献类型：
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作者：
N. Schmitt;M. Kilian;Shimpei Kobayashi;W. Rossman
给出了一个关于loop群值monodromy表示的酉化性定理，并应用于证明在单连通三维空间形式中存在新的一族同胚于三次穿孔球面的常中曲率曲面。𝕊此外，扩展框架的任何相关的家庭的Delaunay曲面计算。
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.