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arXiv · 1412.7293

A discrete parametrized surface theory in R^3

Tim Hoffmann·Andrew O. Sageman-Furnas·Max Wardetzky
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Abstract

We propose a discrete surface theory in $\mathbb R^3$ that unites the most prevalent versions of discrete special parametrizations. This theory encapsulates a large class of discrete surfaces given by a Lax representation and, in particular, the one-parameter associated families of constant curvature surfaces. The theory is not restricted to integrable geometries, but extends to a general surface theory.

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Tim Hoffmann, Andrew O. Sageman-Furnas, Max Wardetzky. 2014-12-23. A discrete parametrized surface theory in R^3. https://arxiv.org/abs/1412.7293

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