Integral pinched 3-manifolds are space forms

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dc.creatorCatino, Giovanni
dc.creatorDjadli, Zindine
dc.date2007-07-03
dc.date2007-09-11
dc.date.accessioned2026-07-07T08:28:20Z
dc.date.available2026-07-07T08:28:20Z
dc.descriptionIn this paper we prove that, under an explicit integral pinching assumption between the $L^2$-norm of the Ricci curvature and the $L^2$-norm of the scalar curvature, a closed 3-manifold with positive scalar curvature admits an Einstein metric with positive curvature. In particular this implies that the manifold is diffeomorphic to a quotient of ${\Bbb S}^3$.
dc.descriptionSome misprints in the first version are corrected
dc.identifierhttps://arxiv.org/abs/0707.0338
dc.identifierhttp://arxiv.org/abs/0707.0338
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137580
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53C24; 53C20; 53C21; 53C25
dc.titleIntegral pinched 3-manifolds are space forms
dc.typetext

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