97 citations · 390 across the 25 of their papers we have counts for
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A discrete version of the Darboux transform for isothermic surfaces
Udo Hertrich-Jeromin, Tim Hoffmann, Ulrich Pinkall
We study Christoffel and Darboux transforms of discrete isothermic nets in 4-dimensional Euclidean space: definitions and basic properties are derived. Analogies with the smooth ca…
Bonnet pairs and isothermic surfaces
George Kamberov, Franz Pedit, Ulrich Pinkall
In this note we classify all Bonnet pairs on a simply connected domain. Our main intent was to apply what we call a quaternionic function theory to a concrete problem in differenti…
Curved Flats and Isothermic Surfaces
F. Burstall, U. Hertrich-Jeromin, F. Pedit +1
We show how pairs of isothermic surfaces are given by curved flats in a pseudo Riemannian symmetric space and vice versa. Calapso's fourth order partial differential equation is de…