Compactness for conformal metrics with Constant $Q$ curvature on locally conformally flat manifolds

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dc.creatorQing, Jie
dc.creatorRaske, David
dc.date2005-08-21
dc.date.accessioned2026-07-07T05:22:32Z
dc.date.available2026-07-07T05:22:32Z
dc.descriptionIn this note we study the conformal metrics of constant $Q$ curvature on closed locally conformally flat manifolds. We prove that for a closed locally conformally flat manifold of dimension $n\geq 5$ and with Poincarë exponent less than $\frac {n-4}2$, the set of conformal metrics of positive constant $Q$ and positive scalar curvature is compact in the $C^\infty$ topology.
dc.description17 pages. to appear in CVPDE
dc.identifierhttps://arxiv.org/abs/math/0508389
dc.identifierhttp://arxiv.org/abs/math/0508389
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76096
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53C21, 58J05
dc.titleCompactness for conformal metrics with Constant $Q$ curvature on locally conformally flat manifolds
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