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Invariant singular minimal surfaces

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Abstract

We classify all singular minimal surfaces in Euclidean space that are invariant by a uniparametric group of translations and rotations.

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Acknowledgements

Part of this paper was done by the author in 2016 during a stay in the Department of Mathematics of the RWTH Aachen University. The author thanks specially to Prof. Josef Bemelmans for his valuable discussions and hospitality. The author also thanks to Prof. Omari (Trieste) to pay me the attention in the articles and techniques for radial solutions of a prescribed mean curvature-type equation.

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Authors and Affiliations

  1. Departamento de Geometría y Topología, Instituto de Matemáticas (IEMath-GR), Universidad de Granada, 18071, Granada, Spain

    Rafael López

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  1. Rafael López
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Correspondence to Rafael López.

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Partially supported by MEC-FEDER Grant No. MTM2014-52368-P.

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López, R. Invariant singular minimal surfaces. Ann Glob Anal Geom 53, 521–541 (2018). https://doi.org/10.1007/s10455-017-9586-9

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  • DOI: https://doi.org/10.1007/s10455-017-9586-9

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