A survey on the Convergence of Manifolds with Boundary
Differential Geometry
2013-10-04 v1 Metric Geometry
Abstract
This survey reviews precompactness theorems for classes of Riemannian manifolds with boundary. We begin with the works of Kodani, Anderson-Katsuda-Kurylev-Lassas-Taylor and Wong. We then present new results of Knox and the author with Sormani.
Keywords
Cite
@article{arxiv.1310.0850,
title = {A survey on the Convergence of Manifolds with Boundary},
author = {Raquel Perales},
journal= {arXiv preprint arXiv:1310.0850},
year = {2013}
}
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