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Lower semicontinuity of Huisken’s isoperimetric mass I Jauregui, Jeff

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We prove that the mass of asymptotically flat 3-manifolds with nonnegative scalar curvature is lower semicontinuous under pointed \(C^0\) Gromov-Hausdorff convergence. In order to prove this, we use Huisken's isoperimetric mass concept, together with a modified weak mean curvature flow argument.

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Attribution-NonCommercial-NoDerivatives 4.0 International