Hyperbolic constant mean curvature one surfaces: Spinor representation and trinoids in hypergeometric functions

Simple item page
dc.creatorBobenko, Alexander I.
dc.creatorPavlyukevich, Tatyana V.
dc.creatorSpringborn, Boris A.
dc.date2002-06-04
dc.date2002-06-14
dc.date.accessioned2026-07-07T04:48:52Z
dc.date.available2026-07-07T04:48:52Z
dc.descriptionWe present a global representation for surfaces in 3-dimensional hyperbolic space with constant mean curvature 1 (CMC-1 surfaces) in terms of holomorphic spinors. This is a modification of Bryant's representation. It is used to derive explicit formulas in hypergeometric functions for CMC-1 surfaces of genus 0 with three regular ends which are asymptotic to catenoid cousins (CMC-1 trinoids).
dc.description29 pages, 9 figures. v2: figures of cmc1-surfaces corrected
dc.identifierhttps://arxiv.org/abs/math/0206021
dc.identifierhttp://arxiv.org/abs/math/0206021
dc.identifierMath. Z. 245, 63--91(2003)
dc.identifierdoi:10.1007/s00209-003-0511-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64214
dc.subjectDifferential Geometry
dc.subject53A10; 53C42
dc.titleHyperbolic constant mean curvature one surfaces: Spinor representation and trinoids in hypergeometric functions
dc.typetext

Files

Collections

arXiv