Compactness of immersions with local Lipschitz representation
classification
🧮 math.DG
keywords
immersionsarbitrarycodimensioncompactnessadmittingboundedconsiderequal
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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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