5 citations · 7 across the 2 of their papers we have counts for
3 papers
math.DG2008★ 5 cited
On the number of minimal surfaces with a given boundary
David Hoffman, Brian White
We generalize the following result of White: Suppose is a compact, strictly convex domain in $\RR^3$ with smooth boundary. Let be a compact 2-manifold with boundary. Then a…
math.DG2006★ 2 cited
Genus-One Helicoids from a Variational Point of View
David Hoffman, Brian White
We prove by variational means the existence of a complete, properly embedded, genus-one minimal surface in R^3 that is asymptotic to a helicoid at infinity. We also prove existence…
math.DG2004
An embedded genus-one helicoid
Matthias Weber, David Hoffman, Michael Wolf
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…