Compactness of immersions with local Lipschitz representation

Details Compactness of immersions with local Lipschitz representation Compactness of immersions with local Lipschitz representation

2012-01-24

arxiv.org/abs/1201.4993v1

Mathematics

Differential Geometry

Scientific paper

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.

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