Immersions with bounded second fundamental form
Differential Geometry
2012-01-24 v1
Abstract
We first consider immersions on compact manifolds with uniform -bounds on the second fundamental form and uniformly bounded volume. We show compactness in arbitrary dimension and codimension, generalizing a classical result of J. Langer. In the second part, this result is used to deduce a localized version, being more convenient for many applications, such as convergence proofs for geometric flows.
Cite
@article{arxiv.1201.4562,
title = {Immersions with bounded second fundamental form},
author = {Patrick Breuning},
journal= {arXiv preprint arXiv:1201.4562},
year = {2012}
}