6 citations · 21 across the 17 of their papers we have counts for
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math.DG2008★ 3 cited
Conformal Structure of Minimal Surfaces with Finite Topology
Jacob Bernstein, Christine Breiner
In this paper, we show that a complete embedded minimal surface in $\Real^3$ with finite topology and one end is conformal to a once-punctured compact Riemann surface. Moreover, us…
math.DG2008
Distortions of the Helicoid
Jacob Bernstein, Christine Breiner
Colding and Minicozzi have shown that an embedded minimal disk in $\Real^3$ with large curvature at 0 looks like a helicoid on the scale of . Near 0, this can…
math.DG2008
Helicoid-Like Minimal Disks and Uniqueness
Jacob Bernstein, Christine Breiner
We show that an embedded minimal disk in R^3 with large curvature is bilipschitz with a piece of a helicoid. Additionally, a simplified proof of the uniqueness of the helicoid is p…