Some applications of Ricci flow to 3-manifolds

Details Some applications of Ricci flow to 3-manifolds Some applications of Ricci flow to 3-manifolds

2008-01-31

arxiv.org/abs/0801.4881v1

Mathematics

Differential Geometry

29 pages

Scientific paper

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.

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