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math.DG2010
Non-periodic Riemann examples with handles
Filippo Morabito, Martin Traizet
We show the existence of 1-parameter families of non-periodic, complete, embedded minimal surfaces in euclidean space with infinitely many parallel planar ends. In particular we ar…
math.DG2010
A minimal surface with unbounded curvature
Martin Traizet
We construct a complete, embedded minimal surface in euclidean 3-space which has unbounded Gaussian curvature. It has infinite genus, infinitely many catenoidal type ends and one l…