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Isoperimetric sets in nonnegative scalar curvature and their role through various concepts of mass

Published 5 May 2023 in math.DG and math.FA | (2305.03643v2)

Abstract: We review some recent results about the relations among isoperimetric sets, Penrose inequalities and related concepts in the analysis of $3$-manifolds of nonnegative scalar curvature. We also show that if the isoperimetric sets of big volume have connected boundaries, the equivalence among suitable notions of mass hold.

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Authors (2)

  1. Luca Benatti 
  2. Mattia Fogagnolo 

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