A discrete version of the Darboux transform for isothermic surfaces

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dc.creatorHertrich-Jeromin, Udo
dc.creatorHoffmann, Tim
dc.creatorPinkall, Ulrich
dc.date1996-11-25
dc.date.accessioned2026-07-07T09:12:55Z
dc.date.available2026-07-07T09:12:55Z
dc.descriptionWe study Christoffel and Darboux transforms of discrete isothermic nets in 4-dimensional Euclidean space: definitions and basic properties are derived. Analogies with the smooth case are discussed and a definition for discrete Ribaucour congruences is given. Surfaces of constant mean curvature are special among all isothermic surfaces: they can be characterized by the fact that their parallel constant mean curvature surfaces are Christoffel and Darboux transforms at the same time. This characterization is used to define discrete nets of constant mean curvature. Basic properties of discrete nets of constant mean curvature are derived.
dc.description30 pages, LaTeX, a version with high quality figures is available at http://www-sfb288.math.tu-berlin.de/preprints.html
dc.identifierhttps://arxiv.org/abs/dg-ga/9611009
dc.identifierhttp://arxiv.org/abs/dg-ga/9611009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152186
dc.subjectDifferential Geometry
dc.titleA discrete version of the Darboux transform for isothermic surfaces
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