Minimal Darboux transformations

被引：3
|
作者：
Hertrich-Jeromin U. [1 ]
Honda A. [2 ]
机构：
[1] Vienna University of Technology, Wiedner Hauptstraße 8–10/104, Vienna
[2] Miyakonojo College, National Institute of Technology, Yoshio, Miyakonojo
来源：
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry | 2017年 / 58卷 / 1期
基金：
奥地利科学基金会; 日本学术振兴会;
关键词：
Bianchi permutability; Christoffel transformation; Curved flat; Darboux transformation; Flat front; Goursat transformation; Hyperbolic geometry; Minimal surface; Riccati equation;
D O I：
10.1007/s13366-016-0301-y
中图分类号：
学科分类号：
摘要：
We derive a permutability theorem for the Christoffel, Goursat and Darboux transformations of isothermic surfaces. As a consequence we obtain a simple proof of a relation between Darboux pairs of minimal surfaces in Euclidean space, curved flats in the 2-sphere and flat fronts in hyperbolic space. © 2016, The Managing Editors.
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页码：81 / 91
页数：10
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