Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality

被引：7

作者：

Bobenko, Alexander I. ^{[1
]}

Hertrich-Jeromin, Udo ^{[2
]}

Lukyanenko, Inna ^{[3
]}

机构：

[1] Tech Univ Berlin, Dept Math, D-10623 Berlin, Germany

[2] Tech Univ Wien, A-1040 Vienna, Austria

[3] Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2014年 / 52卷 / 04期

关键词：

Konigs dual; Christoffel transformation; Discrete conjugate net; Space form; Constant mean curvature; Mixed area; ISOTHERMAL SURFACES; MINIMAL-SURFACES;

D O I：

10.1007/s00454-014-9622-5

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We show that the discrete principal nets in quadrics of constant curvature that have constant mixed area mean curvature can be characterized by the existence of a Konigs dual in a concentric quadric.

引用

页码：612 / 629

页数：18

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