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

页码：43 / 58

页数：16

共 50 条

[21] A semi-discrete modified KdV equation
Sun, Jianqing
Hu, Xingbiao
Zhang, Yingnan
JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (04)
[22] Pfaffianization of the semi-discrete Toda equation
Li, CX
Hu, XB
PHYSICS LETTERS A, 2004, 329 (03) : 193 - 198
[23] ON INTEGRABILITY OF SEMI-DISCRETE TZITZEICA EQUATION
Garifullin, R. N.
UFA MATHEMATICAL JOURNAL, 2021, 13 (02): : 15 - 21
[24] Initialization Procedures for Discrete and Semi-Discrete Optimal Transport
Meyron, Jocelyn
COMPUTER-AIDED DESIGN, 2019, 115 : 13 - 22
[25] Contractivity of θ-method for semi-discrete systems
Galeone, L.
Mastroserio, C.
Numerical Methods for Partial Differential Equations, 1996, 12 (05):
[26] ON CONVERGENCE OF SEMI-DISCRETE ANALYTIC FUNCTIONS
KUROWSKI, GJ
PACIFIC JOURNAL OF MATHEMATICS, 1964, 14 (01) : 199 - &
[27] SEMI-DISCRETE SEMI-LINEAR PARABOLIC SPDES
Georgiou, Nicos
Joseph, Mathew
Khoshnevisan, Davar
Shiu, Shang-Yuan
ANNALS OF APPLIED PROBABILITY, 2015, 25 (05): : 2959 - 3006
[28] Semi-discrete events with fuzzy logic
Raczynski, Stanislaw
JOURNAL OF SIMULATION, 2018, 12 (03) : 248 - 257
[29] SEMI-DISCRETE AND FULLY DISCRETE HDG METHODS FOR BURGERS' EQUATION
Zhu, Zimo
Chen, Gang
Xie, Xiaoping
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2023, 22 (01) : 58 - 81
[30] A discrete method for the initialization of semi-discrete optimal transport problem
Lin, Judy Yangjun
Guo, Shaoyan
Xie, Longhan
Du, Ruxu
Xu, Gu
KNOWLEDGE-BASED SYSTEMS, 2021, 212

← 1 2 3 4 5 →