Compactness of immersions with local Lipschitz representation
Annales de l'I.H.P. Analyse non linéaire, Volume 29 (2012) no. 4, p. 545-572
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 $\lambda ⩽\frac{1}{4}$.
@article{AIHPC_2012__29_4_545_0,
author = {Breuning, Patrick},
title = {Compactness of immersions with local Lipschitz representation},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
publisher = {Elsevier},
volume = {29},
number = {4},
year = {2012},
pages = {545-572},
doi = {10.1016/j.anihpc.2012.02.001},
zbl = {1254.53010},
mrnumber = {2948288},
language = {en},
url = {http://www.numdam.org/item/AIHPC_2012__29_4_545_0}
}

Breuning, Patrick. Compactness of immersions with local Lipschitz representation. Annales de l'I.H.P. Analyse non linéaire, Volume 29 (2012) no. 4, pp. 545-572. doi : 10.1016/j.anihpc.2012.02.001. http://www.numdam.org/item/AIHPC_2012__29_4_545_0/

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