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arXiv · 0806.1924

A characterisation of the Hoffman-Wohlgemuth surfaces in terms of their symmetries

Valerio Ramos-Batista·Plinio Simoes
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Abstract

For an embedded singly periodic minimal surface M with genus bigger than or equal to 4 and annular ends, some weak symmetry hypotheses imply its congruence with one of the Hoffman-Wohlgemuth examples. We give a very geometrical proof of this fact, along which they come out many valuable clues for the understanding of these surfaces.

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Valerio Ramos-Batista, Plinio Simoes. 2008-06-12. A characterisation of the Hoffman-Wohlgemuth surfaces in terms of their symmetries. https://arxiv.org/abs/0806.1924

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