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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.DG2019★ 25 cited
Properties of the Null Distance and Spacetime Convergence
Brian Allen, Annegret Burtscher
The null distance for Lorentzian manifolds was recently introduced by Sormani and Vega. Under mild assumptions on the time function of the spacetime, the null distance gives rise t…