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An end-to-end
construction for singly periodic minimal surfaces
Laurent Hauswirth, Filippo Morabito and M. Magdalena Rodríguez |
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Vol. 241 (2009), No. 1, 1–61
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Abstract |
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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. |
Keywords
singly periodic minimal surfaces, gluing
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Mathematical Subject Classification 2000
Primary: 49Q05, 53A10
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Milestones
Received: 10 June 2008
Accepted: 29 November 2008
Published: 1 May 2009
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Authors |
| Laurent Hauswirth | |
| Université Paris-Est Laboratoire d’Analyse et Mathématiques Appliquées 5 blvd Descartes 77454 Champs-sur-Marne France |
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| Filippo Morabito | |
| Université Paris-Est Laboratoire d’Analyse et Mathématiques Appliquées 5 blvd Descartes 77454 Champs-sur-Marne France |
Università Roma Tre Dipartimento di Matematica Largo S.L. Murialdo 1 00146 Roma Italy |
| M. Magdalena Rodríguez | |
| Universidad Complutense de
Madrid Departamento de Álgebra Plaza de las Ciencias 3 28040 Madrid Spain |
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