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Marcus Khuri, Jian Wang,Mass lower bounds for asymptotically locally flat manifolds, preprint, arXiv:2509 · 2025 · arXiv 2509.03014

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A Comparison Theorem For the Mass of ALE and ALF Toric 4-Manifolds

math.DG · 2026-05-12 · conditional · novelty 7.0

The mass of any toric ALE/ALF 4-manifold with nonnegative scalar curvature is at least the mass of its corresponding toric gravitational instanton, corrected by conical angle defects, and equality holds only for the instanton.

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  • A Comparison Theorem For the Mass of ALE and ALF Toric 4-Manifolds math.DG · 2026-05-12 · conditional · none · ref 32

    The mass of any toric ALE/ALF 4-manifold with nonnegative scalar curvature is at least the mass of its corresponding toric gravitational instanton, corrected by conical angle defects, and equality holds only for the instanton.