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.
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3 Pith papers cite this work. Polarity classification is still indexing.
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math.DG 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Under stated conditions, the Weyl energy on a Bach-flat 4-manifold decreases after connected sum with a positive-Yamabe locally conformally flat manifold.
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.
citing papers explorer
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Curvature at infinity of scalar-flat ALE four-manifolds
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.
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Decreasing Weyl's energy by connected sums with locally conformally flat manifolds
Under stated conditions, the Weyl energy on a Bach-flat 4-manifold decreases after connected sum with a positive-Yamabe locally conformally flat manifold.
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Intrinsic Brown--York Type Mass at Infinity in Four Dimensions
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.