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<p>In this paper, we consider compact graphical manifolds with boundary over a (locally) hyperbolic static space. We establish the stability of the positive mass theorem with respect to the Federer–Fleming flat distance, for the static quasi-local Brown–York energy of the outer boundary of compact (locally) hyperbolic graphical manifolds.</p>

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Stability of Positive Mass Theorem for Static Quasi-Local Energy of Compact (Locally) Hyperbolic Graphical Manifolds

  • 期刊论文

  • 发表日期：

    2025年12月10日

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  • Aghil Alaee,
  • Jiusen Liu

摘要

In this paper, we consider compact graphical manifolds with boundary over a (locally) hyperbolic static space. We establish the stability of the positive mass theorem with respect to the Federer–Fleming flat distance, for the static quasi-local Brown–York energy of the outer boundary of compact (locally) hyperbolic graphical manifolds.