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Article Dans Une Revue Pacific Journal of Mathematics Année : 2009

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

Résumé

We construct families of properly embedded singly periodic minimal surfaces in R^3 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.

Dates et versions

hal-00796856 , version 1 (05-03-2013)

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Laurent Hauswirth, Filippo Morabito, Magdalena Rodriguez Pérez. An end-to-end construction for singly periodic minimal surfaces. Pacific Journal of Mathematics, 2009, 241 (1), pp.1-63. ⟨10.2140/pjm.2009.241.1⟩. ⟨hal-00796856⟩
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