Band width estimates of CMC initial data sets
Differential Geometry
2022-06-07 v1
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.
Cite
@article{arxiv.2206.02624,
title = {Band width estimates of CMC initial data sets},
author = {Xiaoxiang Chai and Xueyuan Wan},
journal= {arXiv preprint arXiv:2206.02624},
year = {2022}
}
Comments
20 pages, 1 figure