Geodesic
An embedded genus-one helicoid
Matthias Weber1 ; David Hoffman2 ; Michael Wolf3
1 Department of Mathematics<br/>Indiana University<br/>Bloomington, IN 47405<br/>United States
2 Department of Mathematics<br/>Stanford University<br/>Stanford, CA 94305<br/>United States
3 Department of Mathematics<br/>Rice University<br/>Houston, TX 77005<br/>United States
Annals of mathematics, Tome 169 (2009) no. 2, pp. 347-448.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2009.169.347

Matthias Weber 1 ; David Hoffman 2 ; Michael Wolf 3

1 Department of Mathematics<br/>Indiana University<br/>Bloomington, IN 47405<br/>United States
2 Department of Mathematics<br/>Stanford University<br/>Stanford, CA 94305<br/>United States
3 Department of Mathematics<br/>Rice University<br/>Houston, TX 77005<br/>United States 
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Matthias Weber; David Hoffman; Michael Wolf. An embedded genus-one helicoid. Annals of mathematics, Tome 169 (2009) no. 2, pp. 347-448. doi : 10.4007/annals.2009.169.347. http://geodesic.mathdoc.fr/articles/10.4007/annals.2009.169.347/

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