An end-to-end construction for singly periodic minimal surfaces

• Autores: Laurent Hauswirth, Filippo Morabito, María Magdalena Rodríguez Pérez
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 241, Nº 1, 2009, págs. 1-62
• Idioma: inglés
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• Resumen

  • We construct families of properly embedded singly periodic minimal surfaces in R3 with Scherk-type ends and arbitrary finite genus in the quotient. The construction follows by gluing small perturbations of pieces of already known minimal surfaces: Scherk minimal surfaces, Costa-Hoffman-Meeks surfaces and KMR examples.