3 citations · 6 across the 4 of their papers we have counts for
4 papers
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…
C^1-regularity for local graph representations of immersions
Patrick Breuning
We consider immersions admitting uniform graph representations over the affine tangent space over a ball of fixed radius r>0. We show that for sufficiently small C^0-norm of the gr…
Compactness of immersions with local Lipschitz representation
Patrick Breuning
We consider immersions admitting uniform representations as an L-Lipschitz graph. In codimension 1, we show compactness for such immersions for arbitrary fixed finite L and uniform…
Immersions with bounded second fundamental form
Patrick Breuning
We first consider immersions on compact manifolds with uniform -bounds on the second fundamental form and uniformly bounded volume. We show compactness in arbitrary dimension…