New explicit CMC cylinders and same-lobed CMC multibubbletons
Differential Geometry
2022-05-31 v1
Abstract
We provide explicit parametrisations of all Darboux transforms of Delaunay surfaces. Using the Darboux transformation on a multiple cover, we obtain this way new closed CMC surfaces with dihedral symmetry. These can be used to construct closed same-lobed CMC multibubbletons by applying Bianchi permutability.
Cite
@article{arxiv.2205.14675,
title = {New explicit CMC cylinders and same-lobed CMC multibubbletons},
author = {Joseph Cho and Katrin Leschke and Yuta Ogata},
journal= {arXiv preprint arXiv:2205.14675},
year = {2022}
}
Comments
17 pages, 20 figures