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Bounded domains which are universal for minimal surfaces

Francisco Martin·William H. Meeks III·Nicolai Nadirashvili
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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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Francisco Martin, William H. Meeks III, Nicolai Nadirashvili. 2005-04-15. Bounded domains which are universal for minimal surfaces. https://arxiv.org/abs/math/0504324

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