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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.

On the structure of complete $G_2$-solitons

math.DG · 2026-06-04 · unverdicted · novelty 5.0

Proves compactness and convergence theorems for complete gradient G2-solitons under scalar curvature lower bounds and potential growth conditions.

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Showing 2 of 2 citing papers after filters.

  • Curvature at infinity of scalar-flat ALE four-manifolds math.DG · 2026-06-15 · unverdicted · none · ref 23

    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.

  • On the structure of complete $G_2$-solitons math.DG · 2026-06-04 · unverdicted · none · ref 57

    Proves compactness and convergence theorems for complete gradient G2-solitons under scalar curvature lower bounds and potential growth conditions.