Scalar curvature and the existence of geometric structures on 3-manifolds, I

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dc.creatorAnderson, Michael T.
dc.date2002-02-04
dc.date.accessioned2026-07-07T04:46:17Z
dc.date.available2026-07-07T04:46:17Z
dc.descriptionThis paper analyses the convergence and degeneration of sequences of metrics on a 3-manifold, and relations of such with Thurston's geometrization conjecture. The sequences are minimizing sequences for a certain (optimal) scalar-curvature type functional and their degeneration is related to the sphere and torus decompositions of the 3-manifold under certain conditions.
dc.description44pp. To appear in Jour. Reine Angew. Math
dc.identifierhttps://arxiv.org/abs/math/0202029
dc.identifierhttp://arxiv.org/abs/math/0202029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63271
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.titleScalar curvature and the existence of geometric structures on 3-manifolds, I
dc.typetext

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