Ricci flow with surgery on three-manifolds

Details Ricci flow with surgery on three-manifolds Ricci flow with surgery on three-manifolds

2003-03-10

arxiv.org/abs/math/0303109v1

Mathematics

Differential Geometry

22 pages

Scientific paper

This is a technical paper, which is a continuation of math.DG/0211159. Here we construct Ricci flow with surgeries and verify most of the assertions, made in section 13 of that e-print; the exceptions are (1) the statement that manifolds that can collapse with local lower bound on sectional curvature are graph manifolds - this is deferred to a separate paper, since the proof has nothing to do with the Ricci flow, and (2) the claim on the lower bound for the volume of maximal horns and the smoothness of solutions from some time on, which turned out to be unjustified and, on the other hand, irrelevant for the other conclusions.

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