Genus-one helicoids from a variational point of view
David Hoffman
Stanford University, USABrian White
Stanford University, USA
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Abstract
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. 767–813
DOI 10.4171/CMH/143