The number of conformally equivalent maximal graphs
We show that the number of entire maximal graphs with finitely many singular points that are conformally equivalent is a universal constant that depends only on the number of singularities, namely 2n for graphs with n + 1 singularities. We also give an explicit description of the family of entire ma...
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/93520 |
| Acceso en línea: | https://hdl.handle.net/11441/93520 https://doi.org/10.1007/s12220-010-9133-4 |
| Access Level: | acceso abierto |
| Palabra clave: | Maximal surfaces Conelike singularities Conformal structures |
| Sumario: | We show that the number of entire maximal graphs with finitely many singular points that are conformally equivalent is a universal constant that depends only on the number of singularities, namely 2n for graphs with n + 1 singularities. We also give an explicit description of the family of entire maximal graphs with a finite number of singularities all of them lying on a plane orthogonal to the limit normal vector at infinity. |
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