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arXiv · 1808.06458

Cheeger-Gromov compactness for manifolds with boundary

Olaf Müller
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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.

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Olaf Müller. 2018-08-20. Cheeger-Gromov compactness for manifolds with boundary. https://arxiv.org/abs/1808.06458

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