Compactness of solutions to the Yamabe problem. III

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dc.creatorLi, YanYan
dc.creatorZhang, Lei
dc.date2006-12-12
dc.date.accessioned2026-07-07T06:36:07Z
dc.date.available2026-07-07T06:36:07Z
dc.descriptionFor a sequence of blow up solutions of the Yamabe equation on non-locally confonformally flat compact Riemannian manifolds of dimension 10 or 11, we establish sharp estimates on its asymptotic profile near blow up points as well as sharp decay estimates of the Weyl tensor and its covariant derivatives at blow up points. If the Positive Mass Theorem held in dimensions 10 and 11, these estimates would imply the compactness of the set of solutions of the Yamabe equation on such manifolds.
dc.descriptionJournal of Functional Analysis, in press
dc.identifierhttps://arxiv.org/abs/math/0612297
dc.identifierhttp://arxiv.org/abs/math/0612297
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99986
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject35J60; 58J05
dc.titleCompactness of solutions to the Yamabe problem. III
dc.typetext

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