On the long neck principle and width estimates for initial data sets
Differential Geometry
2024-05-22 v2
Abstract
In this paper, we prove the long neck principle, band width estimates, and width inequalities of the geodesic collar neighborhoods of the boundary in the setting of general initial data sets for the Einstein equations, subject to certain energy conditions corresponding to the lower bounds of scalar curvature on Riemannian manifolds. Our results are established via the spinorial Callias operator approach.
Cite
@article{arxiv.2307.07278,
title = {On the long neck principle and width estimates for initial data sets},
author = {Daoqiang Liu},
journal= {arXiv preprint arXiv:2307.07278},
year = {2024}
}
Comments
to appear in the Mathematische Zeitschrift