A Compactness Theorem for the Second Fundamental Form
Differential Geometry
2011-04-26 v4
Abstract
In this note we establish several versions of a compactness theorem for submanifolds. In particular we require only bounds on the second fundamental form and do not assume volume or diameter bounds. As an application we prove a compactness theorem for mean curvature flows and use it to construct smooth blow-up limits as singularity models.
Cite
@article{arxiv.1006.5697,
title = {A Compactness Theorem for the Second Fundamental Form},
author = {Andrew A Cooper},
journal= {arXiv preprint arXiv:1006.5697},
year = {2011}
}
Comments
19 pages; corrected errors and added references