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Generalized Weierstrass representation for surfaces in Heisenberg spaces |
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| Authors: | Luis J Alías Jorge HS de Lira Jorge A Hinojosa |
| Institution: | a Departamento de Matemáticas, Universidad de Murcia, E-30100 Espinardo, Murcia, Spain b Departamento de Matemática, Universidade Federal do Ceara-UFC, Bloco 914, Campus do Pici, 60455-760, Fortaleza, Ceara, Brazil c Universidade Federal Rural de Pernambuco, R. Dom Manuel de Medeiros, Dois Irmaos, Recife, Pernambuco 52171-900, Brazil |
| Abstract: | We establish a spinorial representation for surfaces immersed with prescribed mean curvature in Heisenberg space. This permits to obtain minimal immersions starting with a harmonic Gauss map whose target is either the Poincaré disc or a hemisphere of the round sphere. |
| Keywords: | 53C42 53C43 |
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