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20182022
most citedStability of the positive mass theorem and torus rigidity theorems under integral curvature bounds

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math.MG2019

Relating Notions of Convergence in Geometric Analysis

Brian Allen, Christina Sormani

We relate convergence of metric tensors or volume convergence to a given smooth metric to Intrinsic Flat and Gromov-Hausdorff convergence for sequences of Riemannian manifold…

math.MG2018

Contrasting Various Notions of Convergence in Geometric Analysis

Brian Allen, Christina Sormani

We explore the distinctions between convergence of metric tensors on a fixed Riemannian manifold versus Gromov-Hausdorff, uniform, and intrinsic flat convergence of the corre…