The rigidity statement in the Horowitz-Myers conjecture

Published 23 Apr 2025 in math.DG | (2504.16812v1)

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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