Discrete channel surfaces

被引：0
作者：
Udo Hertrich-Jeromin
Wayne Rossman
Gudrun Szewieczek
机构：
[1] TU Wien,Department of Mathematics
[2] Kobe University,undefined
来源：
Mathematische Zeitschrift | 2020年 / 294卷
关键词：
Channel surface; Dupin cyclide; Lie sphere geometry; Discrete Legendre map; Lie cyclide; Blending surface; Vessiot’s Theorem; Discrete isothermic net; Ribaucour transformation; 53C42; 53A40; 37K35; 37K25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present a definition of discrete channel surfaces in Lie sphere geometry, which reflects several properties for smooth channel surfaces. Various sets of data, defined at vertices, on edges or on faces, are associated with a discrete channel surface that may be used to reconstruct the underlying particular discrete Legendre map. As an application we investigate isothermic discrete channel surfaces and prove a discrete version of Vessiot’s Theorem.
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收藏
页码：747 / 767
页数：20
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