Band width estimates of CMC initial data sets

Published 6 Jun 2022 in math.DG | (2206.02624v1)

Abstract: We generalize a band width estimate of Gromov to CMC initial data sets. We give three independent proofs: via the stability of a hypersurface with prescribed null expansion, via a perturbation of the spacetime harmonic function and via the Dirac operator.

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