English

Compactness of immersions with local Lipschitz representation

Differential Geometry 2015-06-03 v1

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.

Keywords

Cite

@article{arxiv.1201.4993,
  title  = {Compactness of immersions with local Lipschitz representation},
  author = {Patrick Breuning},
  journal= {arXiv preprint arXiv:1201.4993},
  year   = {2015}
}
R2 v1 2026-06-21T20:08:58.327Z