Adding handles to the helicoid

Hoffman, David; Wei, Fu Sheng; Karcher, Hermann

doi:10.1090/S0273-0979-1993-00401-4

Adding handles to the helicoid
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by David Hoffman, Fu Sheng Wei and Hermann Karcher PDF

Bull. Amer. Math. Soc. 29 (1993), 77-84 Request permission

Abstract:

There exist two new embedded minimal surfaces, asymptotic to the helicoid. One is periodic, with quotient (by orientation-preserving translations) of genus one. The other is nonperiodic of genus one.

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