In this paper, we use variational methods to prove existence of a complete, properly embedded, genus-one minimal surface that is asymptotic to a helicoid at infinity. We also prove some new properties of such helicoid-like surfaces.
Cite this article
David Hoffman, Brian White, Genus-one helicoids from a variational point of view. Comment. Math. Helv. 83 (2008), no. 4, pp. 767–813DOI 10.4171/CMH/143