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Curvature at infinity of scalar-flat ALE four-manifolds

math.DG · 2026-06-15 · unverdicted · novelty 6.0

Identifies the canonical |x|^{-2} term in scalar-flat ALE four-manifold metrics and shows the leading Weyl component vanishes precisely on crepant minimal resolutions of quotient singularities.

Intrinsic Brown--York Type Mass at Infinity in Four Dimensions

math.DG · 2026-07-02 · unverdicted · novelty 5.0

Defines intrinsic Brown-York mass at infinity for hypersurfaces in 4D AF manifolds whose asymptotic expansion recovers ADM mass plus a shape-dependent correction that vanishes for nearly round surfaces under a decay condition.

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  • Curvature at infinity of scalar-flat ALE four-manifolds math.DG · 2026-06-15 · unverdicted · none · ref 6

    Identifies the canonical |x|^{-2} term in scalar-flat ALE four-manifold metrics and shows the leading Weyl component vanishes precisely on crepant minimal resolutions of quotient singularities.

  • Intrinsic Brown--York Type Mass at Infinity in Four Dimensions math.DG · 2026-07-02 · unverdicted · none · ref 5

    Defines intrinsic Brown-York mass at infinity for hypersurfaces in 4D AF manifolds whose asymptotic expansion recovers ADM mass plus a shape-dependent correction that vanishes for nearly round surfaces under a decay condition.