Minimal Darboux transformations
Differential Geometry
2016-02-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1602.06682,
title = {Minimal Darboux transformations},
author = {U. Hertrich-Jeromin and A. Honda},
journal= {arXiv preprint arXiv:1602.06682},
year = {2016}
}
Comments
9 pages, 2 figures