Compactness of immersions with local Lipschitz representation
arXiv:1201.4993 · doi:10.1016/j.anihpc.2012.02.001
Abstract
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 uniformly bounded volume. The same result is shown in arbitrary codimension for L less than or equal to 1/4.