Bounded domains which are universal for minimal surfaces

2005/04/15 by Francisco Martín, Francisco Martin, William H. Meeks III +5
Mathematics · #Analytic and geometric function theory #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory #math.DG #msc:49Q05 #msc:49Q10 #msc:53A10 #msc:53C42

paper · pdf · doi:10.48550/arxiv.math/0504324

arxiv created 2005/04/15 · arxiv updated 2011/02/19

Abstract

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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