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Minimal Darboux transformations

We derive a permutability theorem for the Christoffel, Goursat and Darboux transformations of isothermic surfaces. As a consequence we obtain a simple proof of a relation between Darboux pairs of minimal surfaces in Euclidean space, curved flats in the 2-sphere and flat fronts in hyperbolic space.

4 nodes3 linksoverview mapMinimal Darboux transformations
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Co-authorshipAuthorshipAuthorshipTopic signalWMinimal Darboux transformationspreprint / 2016AU. Hertrich-JerominResearcherAA. HondaResearcherTmath.DG4490 works
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Minimal Darboux transformations

preprint / 2016

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