Minimal Darboux transformations

Autor: Hertrich-Jeromin, U., Honda, A.
Rok vydání: 2016
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 9 pages, 2 figures
Databáze: arXiv