Corpus ID: 16293983

Ricci flow with surgery on three-manifolds

@article{Perelman2003RicciFW,
  title={Ricci flow with surgery on three-manifolds},
  author={G. Perelman},
  journal={arXiv: Differential Geometry},
  year={2003}
}
  • G. Perelman
  • Published 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
The long-time behavior of 3-dimensional Ricci flow on certain topologies
Ricci Flow with Surgery on Four-manifolds with Positive Isotropic Curvature
Scalar Curvature, Conformal Geometry, and the Ricci Flow with Surgery
On the blow-up of four dimensional Ricci flow singularities
Deforming three-manifolds with positive scalar curvature
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