Compactness of immersions with local Lipschitz representation

Breuning, Patrick

Annales de l'I.H.P. Analyse non linéaire, Tome 29 (2012), p. 545-572 / Harvested from Numdam

Résumé

We consider immersions admitting uniform representations as a λ-Lipschitz graph. In codimension 1, we show compactness for such immersions for arbitrary fixed $ \lambda <\infty $ and uniformly bounded volume. The same result is shown in arbitrary codimension for $ \lambda ⩽\frac{1}{4}$.

Détail

Publié le : 2012-01-01

MR 2948288 | Zbl 1254.53010

DOI : https://doi.org/10.1016/j.anihpc.2012.02.001

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