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

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

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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