Constant mean curvature surfaces based on fundamental quadrilaterals
Differential Geometry
2022-03-03 v1
Abstract
We describe the construction of CMC surfaces with symmetries in and using a CMC quadrilateral in a fundamental tetrahedron of a tessellation of the space. The fundamental piece is constructed by the generalized Weierstrass representation using a geometric flow on the space of potentials.
Keywords
Cite
@article{arxiv.2102.03153,
title = {Constant mean curvature surfaces based on fundamental quadrilaterals},
author = {Alexander I. Bobenko and Sebastian Heller and Nicholas Schmitt},
journal= {arXiv preprint arXiv:2102.03153},
year = {2022}
}
Comments
22 pages, 30 figures