Corpus ID: 16293983

Ricci flow with surgery on three-manifolds

@article{Perelman2003RicciFW,
  title={Ricci flow with surgery on three-manifolds},
  author={Grisha Perelman},
  journal={arXiv: Differential Geometry},
  year={2003}
}
  • G. Perelman
  • Published 10 March 2003
  • Mathematics
  • arXiv: Differential Geometry
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… Expand
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