A discrete parametrized surface theory in R^3
Differential Geometry
2014-12-24 v1
Abstract
We propose a discrete surface theory in 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.
Cite
@article{arxiv.1412.7293,
title = {A discrete parametrized surface theory in R^3},
author = {Tim Hoffmann and Andrew O. Sageman-Furnas and Max Wardetzky},
journal= {arXiv preprint arXiv:1412.7293},
year = {2014}
}