This is a list of papers that deal with convergence of manifolds with boundary. Please, email me if you notice I am missing a paper.
Gromov's precompactness theorem.
Shigeru Kodani. Convergence theorem for Riemannian manifolds with boundary. Compositio Math., 75(2):171–192, 1990
Jeremy Wong. An extension procedure for manifolds with boundary. Pacific J. Math., 235(1):173–199, 2008
Michael Anderson, Atsushi Katsuda, Yaroslav Kurylev, Matti Lassas, and Michael Taylor. Boundary regularity for the Ricci equation, geometric convergence, and Gel fand’s inverse boundary problem. Invent. Math., 158(2):261–321, 2004
Kenneth Knox. A compactness theorem for riemannian manifolds with boundary and applications. arXiv:1211.6210
Raquel Perales and Christina Sormani. Sequences of open riemannian manifolds with boundary. Pacific Journal of Mathematics, Vol 270, No 2, 2014
Raquel Perales. A survey on the convergence of manifolds with boundary. Contemp. Math 657, 179-188. 2016
Raquel Perales. Volumes and limits of manifolds with Ricci curvature and mean curvature bounds. Differential Geometry and its Applications 48, 23-37. 2016
Raquel Perales. Convergence of manifolds and metric spaces with boundary. Journal of Topology and Analysis 12 (03), 735-774, 2020
Brian Allen and Raquel Perales. Intrinsic flat stability of manifolds with boundary where volume converges and distance is bounded below. arXiv preprint arXiv:2006.13030
Olaf Müller. Cheeger-Gromov compactness for manifolds with boundary. arXiv:1808.06458
Elia Bruè, Aaron Naber, Daniele Semola. Boundary regularity and stability for spaces with Ricci bounded below. arXiv:2011.08383
Hyogo Shibahara. Gromov-Hausdorff distance with boundary and its application to Gromov hyperbolic spaces and uniform spaces. arXiv:2108.03626
This is a list of papers that deal with convergence of manifolds with boundary. Please, email me if you notice I am missing a paper.
Gromov's precompactness theorem.
Shigeru Kodani. Convergence theorem for Riemannian manifolds with boundary. Compositio Math., 75(2):171–192, 1990
Jeremy Wong. An extension procedure for manifolds with boundary. Pacific J. Math., 235(1):173–199, 2008
Michael Anderson, Atsushi Katsuda, Yaroslav Kurylev, Matti Lassas, and Michael Taylor. Boundary regularity for the Ricci equation, geometric convergence, and Gel fand’s inverse boundary problem. Invent. Math., 158(2):261–321, 2004
Kenneth Knox. A compactness theorem for riemannian manifolds with boundary and applications. arXiv:1211.6210
Raquel Perales and Christina Sormani. Sequences of open riemannian manifolds with boundary. Pacific Journal of Mathematics, Vol 270, No 2, 2014
Raquel Perales. A survey on the convergence of manifolds with boundary. Contemp. Math 657, 179-188. 2016
Raquel Perales. Volumes and limits of manifolds with Ricci curvature and mean curvature bounds. Differential Geometry and its Applications 48, 23-37. 2016
Raquel Perales. Convergence of manifolds and metric spaces with boundary. Journal of Topology and Analysis 12 (03), 735-774, 2020
Brian Allen and Raquel Perales. Intrinsic flat stability of manifolds with boundary where volume converges and distance is bounded below. arXiv preprint arXiv:2006.13030
Olaf Müller. Cheeger-Gromov compactness for manifolds with boundary. arXiv:1808.06458
Elia Bruè, Aaron Naber, Daniele Semola. Boundary regularity and stability for spaces with Ricci bounded below. arXiv:2011.08383
Hyogo Shibahara. Gromov-Hausdorff distance with boundary and its application to Gromov hyperbolic spaces and uniform spaces. arXiv:2108.03626