Density theorems for complete minimal surfaces in R^3

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dc.creatorAlarcon, A.
dc.creatorFerrer, L.
dc.creatorMartin, F.
dc.date2006-03-31
dc.date2006-11-02
dc.date.accessioned2026-07-07T07:07:25Z
dc.date.available2026-07-07T07:07:25Z
dc.descriptionIn this paper we have proved several approximation theorems for the family of minimal surfaces in R^3 that imply, among other things, that complete minimal surfaces are dense in the space of all minimal surfaces endowed with the topology of C^k convergence on compact sets, for any k. As a consequence of the above density result, we have been able to produce the first example of a complete proper minimal surface in R^3 with uncountably many ends.
dc.description32 pages, 8 figures. To appear in G.A.F.A
dc.identifierhttps://arxiv.org/abs/math/0603737
dc.identifierhttp://arxiv.org/abs/math/0603737
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110384
dc.subjectDifferential Geometry
dc.subject53A10; 49Q05
dc.titleDensity theorems for complete minimal surfaces in R^3
dc.typetext

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