Semi-discrete isothermic surfaces

被引：11
|
作者：
Burstall, F. [1 ]
Hertrich-Jeromin, U. [2 ]
Mueller, C. [2 ]
Rossman, W. [3 ]
机构：
[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England
[2] Vienna Univ Technol, Wiedner Hauptstr 8-10-104, A-1040 Vienna, Austria
[3] Kobe Univ, Dept Math, Kobe, Hyogo 6578501, Japan
来源：
GEOMETRIAE DEDICATA | 2016年 / 183卷 / 01期
基金：
奥地利科学基金会; 日本学术振兴会;
关键词：
Isothermic surface; Discrete isothermic net; Calapso transformation; Darboux transformation; Bianchi permutability; Lawson correspondence; Backlund transformation; Constant mean curvature;
D O I：
10.1007/s10711-016-0143-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：43 / 58
页数：16
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