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.
An end-to-end construction for singly periodic minimal surfaces
Morabito, Filippo;
2009-01-01
Abstract
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.File in questo prodotto:
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