Mathematics

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

Document Type

Article

Abstract

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. © Mathematica Josephina, Inc. 2025.

Publication Title

Journal of Geometric Analysis

Publication Date

1-2026

Volume

36

Issue

1

ISSN

1050-6926

DOI

10.1007/s12220-025-02245-4

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