Solving period problems for minimal surfaces with the support function

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dc.creatorRamos-Batista, Valerio
dc.creatorBaginski, Frank
dc.date2008-06-25
dc.date.accessioned2026-07-07T09:46:42Z
dc.date.available2026-07-07T09:46:42Z
dc.descriptionIn this paper we show how to bypass the usual difficulties in the analysis of elliptic integrals that arise when solving period problems for minimal surfaces. The method consists of replacing period problems with ordinary Sturm-Liouville problems involving the support function. We give a practical application by proving existence of the sheared Scherk-Karcher family of surfaces numerically described by Wei. Moreover, we show that this family is continuous, and both of its limit-members are the singly periodic genus-one helicoid.
dc.identifierhttps://arxiv.org/abs/0806.4179
dc.identifierhttp://arxiv.org/abs/0806.4179
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163621
dc.subjectDifferential Geometry
dc.subject53A10
dc.titleSolving period problems for minimal surfaces with the support function
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