The rigidity statement in the Horowitz-Myers conjecture
Differential Geometry
2026-02-25 v2
Abstract
In this paper, we give an alternative proof of the Horowitz-Myers conjecture in dimension . Moreover, we show that a metric that achieves equality in the Horowitz-Myers conjecture is locally isometric to a Horowitz-Myers metric.
Cite
@article{arxiv.2504.16812,
title = {The rigidity statement in the Horowitz-Myers conjecture},
author = {S. Brendle and P. K. Hung},
journal= {arXiv preprint arXiv:2504.16812},
year = {2026}
}
Comments
minor improvements in exposition