Semi-discrete isothermic surfaces

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• 作者：F. Burstall ; U. Hertrich-Jeromin ; C. Müller ; W. Rossman
• 刊名：Geometriae Dedicata
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：183
• 期：1
• 页码：43-58
• 全文大小：513 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Geometry
  
• 出版者：Springer Netherlands
• ISSN：1572-9168
• 卷排序：183

文摘

A Darboux transformation for polarized space curves is introduced and its properties are studied, in particular, Bianchi permutability. Semi-discrete isothermic surfaces are described as sequences of Darboux transforms of polarized curves in the conformal n-sphere and their transformation theory is studied. Semi-discrete surfaces of constant mean curvature are studied as an application of the transformation theory.KeywordsIsothermic surfaceDiscrete isothermic netCalapso transformationDarboux transformationBianchi permutabilityLawson correspondenceBäcklund transformationConstant mean curvature