CMC-1 Surfaces in Hyperbolic 3-space using the Bianchi-Calo method

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dc.creatorde Lima, Levi Lopes
dc.creatorRoitman, Pedro
dc.date2001-10-01
dc.date.accessioned2026-07-07T04:43:36Z
dc.date.available2026-07-07T04:43:36Z
dc.descriptionIn this note we present a method for constructing CMC-1 surfaces in hyperbolic 3-space $\bfH^3(-1)$ in terms of holomorphic data first introduced in Bianchi's Lezioni di Geometria Differenziale of 1927, therefore predating by many years the modern approaches due to Bryant, Small and others. Besides its obvious historical interest, this note aims to complement Bianchi's analysis by deriving explicit formulae for CMC-1 surfaces and comparing the various approaches encountered in the literature.
dc.description13 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0110021
dc.identifierhttp://arxiv.org/abs/math/0110021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62297
dc.subjectDifferential Geometry
dc.subjectHistory and Overview
dc.subject53A10
dc.titleCMC-1 Surfaces in Hyperbolic 3-space using the Bianchi-Calo method
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