Minimal surfaces with the area growth of two planes; the case of infinite symmetry

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dc.creatorMeeks III, William H.
dc.creatorWolf, Michael
dc.date2005-01-08
dc.date.accessioned2026-07-07T05:15:55Z
dc.date.available2026-07-07T05:15:55Z
dc.descriptionWe prove that a connected properly immersed minimal surface in Euclidean 3-space with infinite symmetry group whose intersection with a ball of radius R is less than 2\piR^2 is a plane, a catenoid or a Scherk singly-periodic minimal surface. In particular, we prove that the only periodic minimal desingularization of a pair of intersecting planes is Scherk's singly-periodic minimal surface.
dc.description33 pages; 1 figure
dc.identifierhttps://arxiv.org/abs/math/0501110
dc.identifierhttp://arxiv.org/abs/math/0501110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73796
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.subject53A20; 58D27; 32G15
dc.titleMinimal surfaces with the area growth of two planes; the case of infinite symmetry
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