Non-periodic Riemann examples with handles

Details Non-periodic Riemann examples with handles Non-periodic Riemann examples with handles

2010-11-30

arxiv.org/abs/1011.6539v1

Mathematics

Differential Geometry

Scientific paper

We show the existence of 1-parameter families of non-periodic, complete,
embedded minimal surfaces in euclidean space with infinitely many parallel
planar ends. In particular we are able to produce finite genus examples and
quasi-periodic examples of infinite genus.

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