On the blow-up of four dimensional Ricci flow singularities

@article{Maximo2012OnTB,
  title={On the blow-up of four dimensional Ricci flow singularities},
  author={Davi M'aximo},
  journal={arXiv: Differential Geometry},
  year={2012}
}
  • Davi M'aximo
  • Published 2012
  • Mathematics
  • arXiv: Differential Geometry
In this paper we prove a conjecture by Feldman-Ilmanen-Knopf in \cite{FIK} that the gradient shrinking soliton metric they constructed on the tautological line bundle over $\CP^1$ is the uniform limit of blow-ups of a type I Ricci flow singularity on a closed manifold. We use this result to show that limits of blow-ups of Ricci flow singularities on closed four dimensional manifolds do not necessarily have non-negative Ricci curvature. 

References

SHOWING 1-10 OF 50 REFERENCES
Some Type I Solutions of Ricci Flow with Rotational Symmetry
On type-I singularities in Ricci flow
The Kähler–Ricci flow on Hirzebruch surfaces
Non-negative Ricci curvature on closed manifolds under Ricci flow
Contracting exceptional divisors by the Kähler–Ricci flow II
The Kähler–Ricci flow through singularities
Ricci flow with surgery on three-manifolds
Ricci solitons on compact three-manifolds
On the Kähler-Ricci Flow on Projective Manifolds of General Type
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