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：

日本学术振兴会; 奥地利科学基金会;

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

页码：43 / 58

页数：16

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