The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space L3
We show that, up to some natural normalizations, the moduli space of singly periodic complete embedded maximal surfaces in the Lorentz-Minkowski space L3 = (R3, dx2 1 + dx2 2 − dx2 3), with fundamental piece having a finite number (n + 1) of singularities, is a real analytic manifold of dimension 3n...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2007 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/115306 |
| Acceso en línea: | https://hdl.handle.net/11441/115306 https://doi.org/10.1007/s00229-007-0079-1 |
| Access Level: | acceso abierto |
| Palabra clave: | Maximal surfaces Periodic surfaces Conelike singularities |
| Sumario: | We show that, up to some natural normalizations, the moduli space of singly periodic complete embedded maximal surfaces in the Lorentz-Minkowski space L3 = (R3, dx2 1 + dx2 2 − dx2 3), with fundamental piece having a finite number (n + 1) of singularities, is a real analytic manifold of dimension 3n+4. The underlying topology agrees with the topology of uniform convergence of graphs on compact subsets of {x3 = 0}. |
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