94 citations · 154 across the 15 of their papers we have counts for
15 papers
Periodic discrete Darboux transforms
Joseph Cho, Katrin Leschke, Yuta Ogata
We express Darboux transformations of discrete polarised curves as parallel sections of discrete connections in the quaternionic formalism. This immediately leads to the linearisat…
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…
Generalised Bianchi permutability for isothermic surfaces
Joseph Cho, Katrin Leschke, Yuta Ogata
Isothermic surfaces are surfaces which allow a conformal curvature line parametrisation. They form an integrable system, and Darboux transforms of isothermic surfaces obey Bianchi…
Simple factor dressing and the Lopez-Ros deformation of minimal surfaces in Euclidean 3-space
Katrin Leschke, Katsuhiro Moriya
The aim of this paper is to give a new link between integrable systems and minimal surface theory. The dressing operation uses the associated family of flat connections of a harmon…
Darboux transforms and spectral curves of constant mean curvature surfaces revisited
Emma Carberry, Katrin Leschke, Franz Pedit
We study the geometric properties of Darboux transforms of constant mean curvature (CMC) surfaces and use these transforms to obtain an algebro-geometric representation of constant…
Harmonic map methods for Willmore surfaces
K. Leschke
In this note we demonstrate how the analogy between the harmonic Gauss map of a constant mean curvature surface and the harmonic conformal Gauss map of a Willmore surface can be us…