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

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dc.creatorHertrich-Jeromin, Udo
dc.date1999-08-30
dc.date.accessioned2026-07-07T05:30:34Z
dc.date.available2026-07-07T05:30:34Z
dc.descriptionUsing 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.
dc.description20 pages, plain TeX, 9 PostScript Figures
dc.identifierhttps://arxiv.org/abs/math/9908161
dc.identifierhttp://arxiv.org/abs/math/9908161
dc.identifiermanuscripta math. 102, 465-486 (2000)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79030
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subject53A99
dc.titleTransformations of discrete isothermic nets and discrete cmc-1 surfaces in hyperbolic space
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