{ "id": "1310.0850", "version": "v1", "published": "2013-10-02T21:51:51.000Z", "updated": "2013-10-02T21:51:51.000Z", "title": "A survey on the Convergence of Manifolds with Boundary", "authors": [ "Raquel Perales" ], "comment": "9 pages, no images", "categories": [ "math.DG", "math.MG" ], "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.", "revisions": [ { "version": "v1", "updated": "2013-10-02T21:51:51.000Z" } ], "analyses": { "keywords": [ "convergence", "survey reviews precompactness theorems", "riemannian manifolds", "anderson-katsuda-kurylev-lassas-taylor" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1310.0850P" } } }