Commentarii Mathematici Helvetici
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Published online: 2009-12-23
On minimal surfaces bounded by two convex curves in parallel planesMartin Traizet (1) Université François Rabelais, Tours, France
We prove that a compact minimal surface bounded by two closed convex curves in parallel planes close enough to each other must be topologically an annulus.
Keywords: Minimal surface with boundary, Robin function, concentration of curvature
Traizet Martin: On minimal surfaces bounded by two convex curves in parallel planes. Comment. Math. Helv. 85 (2010), 39-71. doi: 10.4171/CMH/187