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math.DG2011★ 16 cited
Closed self-shrinking surfaces in via the torus
Niels Martin Møller
We construct many closed, embedded mean curvature self-shrinking surfaces of high genus , . Each of these shrinking solitons has…
math.DG2011★ 36 cited
Mean curvature self-shrinkers of high genus: Non-compact examples
Nikolaos Kapouleas, Stephen J. Kleene, Niels Martin Møller
We give the first rigorous construction of complete, embedded self-shrinking hypersurfaces under mean curvature flow, since Angenent's torus in 1989. The surfaces exist for any suf…