Discrete Parametrized Surface Theory in $\mathbb{R}^3$
Tim Hoffmann, Andrew O'Shea Sageman-Furnas, Max Wardetzky
Media
Description
A discrete surface theory in $\mathbb{R}^3$ that unites the most prevalent versions of discrete special parametrizations is introduced here. The 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. Our theory is not restricted to integrable geometries, but extends to a general surface theory.
References
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Tim Hoffmann, Andrew O. Sageman-Furnas, and Max Wardetzky.
A Discrete Parametrized Surface Theory in $\mathbb R^3$.
International Mathematics Research Notices, 2017(14):4217–4258, 2017.
arXiv:1412.7293, doi:10.1093/imrn/rnw015.
