Some applications of Ricci flow to 3-manifolds

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We decribe and announce some results (joint with G. Besson, L. Bessieres, M. Boileau and J.Porti) about the geometry and topology of 3-manifolds. Most of the article is primarily intended as an introduction for nonexperts to geometrization of 3-manifolds, Ricci flow with surgery, and the simplicial volume approach to collapsing theorems. In the last section, Ricci flow with surgery on open 3-manifolds and obstructions to positive scalar curvature are discussed.
29 pages

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Differential Geometry, Geometric Topology, 57M50; 53C20; 53C21

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http://salesiana.dossiersoluciones.com/handle/123456789/146994

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.4881
 http://arxiv.org/abs/0801.4881

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arXiv