Artículo
Complete minimal surfaces and harmonic functions
Autor/es | Alarcón, Antonio
Fernández Delgado, Isabel López, Francisco J. |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2012 |
Fecha de depósito | 2020-02-19 |
Publicado en |
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Resumen | We prove that for any open Riemann surface N and any non constant harmonic function
h : N → R, there exists a complete conformal minimal immersion X : N → R3 whose third
coordinate function coincides with h.
As a ... We prove that for any open Riemann surface N and any non constant harmonic function h : N → R, there exists a complete conformal minimal immersion X : N → R3 whose third coordinate function coincides with h. As a consequence, completeminimal surfaceswith arbitrary conformal structure andwhose Gauss map misses two points are constructed. |
Identificador del proyecto | MTM2007-61775
MTM2007-64504 P06-FQM-01642. |
Cita | Alarcón, A., Fernández Delgado, I. y López, F.J. (2012). Complete minimal surfaces and harmonic functions. Commentarii Mathematici Helvetici, 87 (4), 891-904. |
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