2 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…