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math.DG2016
A note on Willmore minimizing Klein bottles in Euclidean space
J. Hirsch, E. Mäder-Baumdicker
We show that Lawson's bipolar surface is after stereographic projection the unique minimizer among immersed Klein bottles in its conformal class. We conjecture that…
math.AP2016★ 1 cited
Existence of minimizing Willmore Klein bottles in Euclidean four-space
Patrick Breuning, Jonas Hirsch, Elena Mäder-Baumdicker
Let be a Klein bottle. We show that the infimum of the Willmore energy among all immersed Klein bottles in Euclidean -space is attained by a smooth embedded Klein bottle, wh…