Transformations of discrete isothermic nets and discrete cmc-1 surfaces in hyperbolic space

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79030Using a quaternionic calculus, the Christoffel, Darboux, Goursat, and spectral transformations for discrete isothermic nets are described, with their interrelations. The Darboux and spectral transformations are used to define discrete analogs for cmc-1 surfaces in hyperbolic space and to obtain a discrete version of Bryant's Weierstrass type representation.20 pages, plain TeX, 9 PostScript FiguresDifferential GeometryDynamical Systems53A99Transformations of discrete isothermic nets and discrete cmc-1 surfaces in hyperbolic spacetext