Discrete constant mean curvature surfaces via conserved quantities

Details Discrete constant mean curvature surfaces via conserved quantities Discrete constant mean curvature surfaces via conserved quantities

2010-10-11

arxiv.org/abs/1010.1978v1

MI Lecture Note Series 25, 2010

Mathematics

Differential Geometry

survey article, 130 pages

Scientific paper

This survey article is about discrete constant mean curvature surfaces defined by an approach related to integrable systems techniques. We introduce the notion of discrete constant mean curvature surfaces by first introducing properties of smooth constant mean curvature surfaces. We describe the mathematical structure of the smooth surfaces using conserved quantities, which can be converted into a discrete theory in a natural way.

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