Weierstrass representation for semi-discrete minimal surfaces, and comparison of various discretized catenoids
Differential Geometry
2017-09-22 v1
Abstract
We give a Weierstrass type representation for semi-discrete minimal surfaces in Euclidean 3-space. We then give explicit parametrizations of various smooth, semi-discrete and fully-discrete catenoids, determined from either variational or integrable systems principles. Finally, we state the shared properties that those various catenoids have.
Keywords
Cite
@article{arxiv.1208.4427,
title = {Weierstrass representation for semi-discrete minimal surfaces, and comparison of various discretized catenoids},
author = {Wayne Rossman and Masashi Yasumoto},
journal= {arXiv preprint arXiv:1208.4427},
year = {2017}
}