Band width estimates of CMC initial data sets

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Authors

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.

Topics & Keywords

Geometric Analysis and Curvature Flows Geometry and complex manifolds Advanced Differential Geometry Research

UN Sustainable Development Goals

Sustainable cities and communities

Publication Details

Published in: arXiv (Cornell University)

DOI: 10.48550/arxiv.2206.02624