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Intrinsic Flat and Gromov-Hausdorff Convergence of Manifolds with Ricci Curvature Bounded Below

We show that for a noncollapsing sequence of closed, connected, oriented Riemannian manifolds with Ricci curvature bounded below and diameter bounded above, Gromov-Hausdorff convergence agrees with intrinsic flat convergence. In particular, the limiting current is essentially unique, has multiplicit...

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Detalles Bibliográficos
Autores principales: Matveev, Rostislav, Portegies, Jacobus W.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6294178/
https://www.ncbi.nlm.nih.gov/pubmed/30839891
http://dx.doi.org/10.1007/s12220-016-9742-7