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math.DG2009
Axial minimal surfaces in S^2 x R are helicoidal
David Hoffman, Brian White
We prove that if a complete, properly embedded, finite-topology minimal surface in S^2 x R contains a line, then its ends are asymptotic to helicoids, and that if the surface is an…
math.DG2009
Sequences of embedded minimal disks whose curvatures blow up on a prescribed subset of a line
David Hoffman, Brian White
For any prescribed closed subset of a line segment in Euclidean 3-space, we construct a sequence of minimal disks that are properly embedded in an open solid cylinder around the se…