Uniqueness of the Riemann minimal examples |
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| Authors: | William H. Meeks III Joaquín Pérez Antonio Ros |
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| Affiliation: | (1) Mathematics Department, University of Massachusetts, Amherst, MA 01003, USA, US;(2) Departamento de Geometría y Topología, Universidad de Granada, E-Fuentenueva, 18071 Granada, Spain (FAX: 34 58 243281), ES |
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| Abstract: | We prove that a properly embedded minimal surface in R 3 of genus zero with infinite symmetry group is a plane, a catenoid, a helicoid or a Riemann minimal example. We introduce the language of Hurwitz schemes to understand the underlying moduli space of surfaces in our setting. Oblatum 30-V-1997 & 5-VIII-1997 |
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