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

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• 作者：Alexander I. Bobenko (1)
  Udo Hertrich-Jeromin (2)
  Inna Lukyanenko (1) (3)
  
• 关键词：K?nigs dual ; Christoffel transformation ; Discrete conjugate net ; Space form ; Constant mean curvature ; Mixed area ; 53A10 ; 53C42 ; 53A15 ; 53A30 ; 37K25 ; 37K35
• 刊名：Discrete and Computational Geometry
• 出版年：2014
• 出版时间：December 2014
• 年：2014
• 卷：52
• 期：4
• 页码：612-629
• 全文大小：533 KB
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• 作者单位：Alexander I. Bobenko (1)
  Udo Hertrich-Jeromin (2)
  Inna Lukyanenko (1) (3)
  
  1. Department of Mathematics, Technische Universit?t Berlin, 10623, Berlin, Germany
  2. Technische Universit?t Wien, Wiedner Hauptstra?e 8-0/104, 1040, Wien, Austria
  3. School of Mathematics and Physics, The University of Queensland, 4072, Brisbane, Australia
  
• ISSN：1432-0444

文摘

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 K?nigs dual in a concentric quadric.