Asymptotic Curvature Decay and Removal of Singularities of Bach-Flat Metrics

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dc.creatorStreets, Jeffrey
dc.date2007-08-07
dc.date.accessioned2026-07-07T08:22:33Z
dc.date.available2026-07-07T08:22:33Z
dc.descriptionWe prove a removal of singularities result for Bach-flat metrics in dimension 4 under the assumption of bounded L^2 norm of curvature, bounded Sobolev constant and a volume growth bound. This result extends the removal of singularities result for special classes of Bach-flat metrics obtained in \cite{TVMOD}. For the proof we analyze the decay rates of solutions to the Bach-flat equation linearized around a flat metric. This classification is used to prove that Bach-flat cones are in fact ALE of order $τ$ for any $τ< 2$. This result is then used to prove the removal of singularities theorem.
dc.identifierhttps://arxiv.org/abs/0708.0869
dc.identifierhttp://arxiv.org/abs/0708.0869
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135691
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.titleAsymptotic Curvature Decay and Removal of Singularities of Bach-Flat Metrics
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