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arXiv · 2504.16812

The rigidity statement in the Horowitz-Myers conjecture

S. Brendle·P. K. Hung
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Abstract

In this paper, we give an alternative proof of the Horowitz-Myers conjecture in dimension $3 \leq N \leq 7$. Moreover, we show that a metric that achieves equality in the Horowitz-Myers conjecture is locally isometric to a Horowitz-Myers metric.

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S. Brendle, P. K. Hung. 2025-04-23. The rigidity statement in the Horowitz-Myers conjecture. https://arxiv.org/abs/2504.16812

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