The moduli space of embedded singly periodic maximal surfaces with isolated singularities in the Lorentz-Minkowski space \mathbbL3

• Autores: Isabel Fernández Delgado , Francisco José López Fernández , Rabah Souam
• Localización: Manuscripta mathematica, ISSN 0025-2611, Vol. 122, Nº. 4, 2007, págs. 439-463
• Idioma: inglés
• DOI: 10.1007/s00229-007-0079-1
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• Resumen

  • We show that, up to some natural normalizations, the moduli space of singly periodic complete embedded maximal surfaces in the Lorentz¿Minkowski space , 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 {x 3 = 0}.