Cheeger-Gromov compactness for manifolds with boundary

Fuente: arXiv
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1. Verfasser: Müller, Olaf
Format: Preprint
Veröffentlicht: 2018
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author Müller, Olaf
author_facet Müller, Olaf
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1808_06458
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle Cheeger-Gromov compactness for manifolds with boundary
Müller, Olaf
Differential Geometry
53C23
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.
title Cheeger-Gromov compactness for manifolds with boundary
topic Differential Geometry
53C23
url https://arxiv.org/abs/1808.06458