Cheeger-Gromov compactness for manifolds with boundary
Differential Geometry
2026-02-24 v3
Abstract
We prove Cheeger-Gromov convergence for a subsequence of a given sequence of manifolds-with-boundary of bounded geometry. The method of the proof is to reduce, via height functions, the problem to the setting of Hamilton's compactnes theorem for manifolds without boundary.
Cite
@article{arxiv.1808.06458,
title = {Cheeger-Gromov compactness for manifolds with boundary},
author = {Olaf Müller},
journal= {arXiv preprint arXiv:1808.06458},
year = {2026}
}
Comments
12 pages