An embedded genus-one helicoid.

Abstract:

:There exists a properly embedded minimal surface of genus one with a single end 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.

authors

Weber M,Hoffman D,Wolf M

doi

10.1073/pnas.0508008102

keywords:

subject

Has Abstract

pub_date

2005-11-15 00:00:00

pages

16566-8

issue

46

eissn

0027-8424

issn

1091-6490

pii

0508008102

journal_volume

102

pub_type

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