An embedded genus-one helicoid

Details An embedded genus-one helicoid An embedded genus-one helicoid

2004-01-08

arxiv.org/abs/math/0401080v2

Mathematics

Differential Geometry

115 pages, many figures Minor exposiitonal changes and added references

Scientific paper

10.1073/pnas.0508008102

There exists a properly embedded minimal surface of genus one with one end.
The end is asymptotic to the end of the helicoid. This genus one helicoid is
constructed as the limit of a continuous one-parameter family of screw-motion
invariant minimal surfaces--also asymptotic to the helicoid--that have genus
equal to one in the quotient.

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