3 papers
math.DG2022
New explicit CMC cylinders and same-lobed CMC multibubbletons
Joseph Cho, Katrin Leschke, Yuta Ogata
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 surface…
math.DG2021
Constrained elastic curves and surfaces with spherical curvature lines
Joseph Cho, Mason Pember, Gudrun Szewieczek
In this paper we consider surfaces with one or two families of spherical curvature lines. We show that every surface with a family of spherical curvature lines can locally be gener…
math.DG2018
Deformation and singularities of maximal surfaces with planar curvature lines
Joseph Cho, Yuta Ogata
Minimal surfaces with planar curvature lines in the Euclidean space have been studied since the late 19th century. On the other hand, the classification of maximal surfaces with pl…