A priori estimates for the Yamabe problem in the non-locally conformally flat case

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dc.creatorMarques, Fernando C.
dc.date2004-08-04
dc.date.accessioned2026-07-07T05:11:02Z
dc.date.available2026-07-07T05:11:02Z
dc.descriptionGiven a compact Riemannian manifold, with positive Yamabe quotient, not conformally diffeomorphic to the standard sphere, we prove a priori estimates for solutions to the Yamabe problem. We restrict ourselves to the dimensions less than or equal to 7, where the Positive Mass Theorem is known to be true. We also show that, when the dimension is greater than or equal to 6, the Weyl tensor has to vanish at a point where solutions to the Yamabe equation blow up.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/math/0408063
dc.identifierhttp://arxiv.org/abs/math/0408063
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72111
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53A30, 35J60
dc.titleA priori estimates for the Yamabe problem in the non-locally conformally flat case
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