Asymptotic curvature decay and removal of singularities of Bach-flat metrics

DOI10.1090/S0002-9947-09-04960-5zbMath1220.53050arXiv0708.0869OpenAlexW2070503259WikidataQ125614644 ScholiaQ125614644MaRDI QIDQ3550536

Jeffrey Streets

Publication date: 31 March 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.0869

zbMATH Keywords

curvaturebounded \(L^2\)-normbounded Sobolev constantvolume growth bound

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (9)

Anti-self-dual orbifolds with cyclic quotient singularities ⋮ A rigidity theorem for complete noncompact Bach-flat manifolds ⋮ Rigidity of complete noncompact bach-flat \(n\)-manifolds ⋮ A smörgåsbord of scalar-flat Kähler ALE surfaces ⋮ Obstruction-flat asymptotically locally Euclidean metrics ⋮ Complete noncompact manifolds with harmonic curvature ⋮ EXISTENCE AND COMPACTNESS THEORY FOR ALE SCALAR-FLAT KÄHLER SURFACES ⋮ Asymptotics of the self-dual deformation complex ⋮ On Kähler conformal compactifications of \(U(n)\)-invariant ALE spaces

Cites Work

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• Opérateur de courbure et laplacien des formes différentielles d'une variété riemannienne
• On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay
• Bach-flat asymptotically locally Euclidean metrics
• Moduli spaces of critical Riemannian metrics in dimension four
• On conformally Kähler, Einstein manifolds
• Some regularity theorems in riemannian geometry

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