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Results tagged with ricci-flow
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user 47391
6
votes
2
answers
546
views
Hamilton-Ivey pinching in dimension 4
I've heard it said (e.g., in the accepted answer to this MO question) that a major obstacle to an effective theory of Ricci Flow in dimension 4 is the absence of the Hamilton-Ivey pinching phenomenon. …
- 787
1
vote
1
answer
513
views
Hamilton's Proof of the Tensor Maximum Principle
My questions come from Richard Hamilton's Three-Manifolds with Positive Ricci Curvature paper. I'm trying to work through parts of the paper so I can better understand the Ricci Flow for my research. …
- 787
7
votes
1
answer
488
views
"Elliptic" proof that Compact Ricci Solitons are Gradient Ricci Solitons
I'm concerned with the following
Proposition: If a compact manifold $M$ satisfies $$Rc + \textstyle\frac{1}{2}\mathcal{L}_Xg = \lambda g $$
where $\lambda$ is a constant (i.e. $M$ is a compact Ricci …
- 787