The positive energy conjecture for a class of AHM metrics on ${\mathbb{R}}^2\times {\mathbb{T}}^{n-2}$

Abstract

We prove the positive energy conjecture for a class of asymptotically Horowitz-Myers (AHM) metrics on ${\mathbb{R}}^2\times {\mathbb{T}}^{n-2}$.This generalizes the previous results of Barzegar-Chruściel-Hörzinger-Maliborski-Nguyen \cite{BCHMN} as well as the authors \cite{LZ}.

17 pages. Final version, condition (1.13) is corrected to hold for n>=4 in Theorem 1.1, to appear in Science China Mathematics

References in corpus (1)

• Metrics of Horowitz-Myers type with the negative constant scalar curvature