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.
Critical Metrics for Riemannian Curvature Functionals
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
This article is based upon lectures given at the 2013 IAS/Park City Mathematics Institute summer program in geometric analysis.
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math.DG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Introduces symmetric tautness tensor from mean curvature to prove tautness condition for Riemannian foliations on compact manifolds with applications under geometric conditions.
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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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Symmetric tautness tensor on Riemannian foliations
Introduces symmetric tautness tensor from mean curvature to prove tautness condition for Riemannian foliations on compact manifolds with applications under geometric conditions.