P. Hung

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math.DG2026

Systolic inequalities and the Horowitz-Myers conjecture

S. Brendle, P. K. Hung

Let $n$ be an integer with $3 \leq n \leq 7$ , let $M$ be a compact manifold of dimension $n$ with boundary $\partial M$ , and let $g$ be a Riemannian metric on $M$ with scalar curva…

math.DG2026

The rigidity statement in the Horowitz-Myers conjecture

S. Brendle, P. K. Hung

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-…