4 papers
A comment on full discretized isothermic tori in Euclidean spaces
K. Leschke, F. Pedit, W. Rossman
Using discretized orthogonal systems (curvature line systems) with periodicity, created using Darboux transformations and their permutability, we have discrete and semi-discrete k-…
Links between the integrable systems of CMC surfaces, isothermic surfaces and constrained Willmore surfaces
Katrin Leschke
Since constant mean curvature surfaces in 3-space are special cases of isothermic and constrained Willmore surfaces, they give rise to three, apriori distinct, integrable systems.…
Monodromy of Darboux transformations of polarised curves
Joseph Cho, Katrin Leschke, Yuta Ogata
We show that every finite type polarised curve in the conformal -sphere with a polynomial conserved quantity admits a resonance point, under a non-orthogonality assumption on th…
Discrete constant mean curvature cylinders and isothermic tori
Joseph Cho, Katrin Leschke, Yuta Ogata
We consider the monodromy problem of Darboux transforms of discrete isothermic surfaces using the integrable theory of discrete polarised curves. Then we provide, for the first tim…