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

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This 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.
44pp. To appear in Jour. Reine Angew. Math

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Differential Geometry, Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/63271

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0202029
 http://arxiv.org/abs/math/0202029

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arXiv