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arxiv: math/0504324 · v1 · pith:ZRXBA2H3new · submitted 2005-04-15 · 🧮 math.DG

Bounded domains which are universal for minimal surfaces

classification 🧮 math.DG
keywords domainsminimalsurfacesadmitannularboundedcompleteconstruct
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We construct open domains in Euclidean 3-space which do not admit complete properly immersed minimal surfaces with an annular end. These domains can not be smooth by a recent result of Martin and Morales

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