Geodesic
Long-time behavior of 3–dimensional Ricci flow, A : Generalizations of Perelman’s long-time estimates
Bamler, Richard1
1 Department of Mathematics, University of California, Berkeley, CA, United States
Geometry & topology, Tome 22 (2018) no. 2, pp. 775-844.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

This is the first of a series of papers on the long-time behavior of 3–dimensional Ricci flows with surgery. We first fix a notion of Ricci flows with surgery, which will be used in this and the following three papers. Then we review Perelman’s long-time estimates and generalize them to the case in which the underlying manifold is allowed to have a boundary. Eventually, making use of Perelman’s techniques, we prove new long-time estimates, which hold whenever the metric is sufficiently collapsed.

DOI : 10.2140/gt.2018.22.775
Classification : 53C44, 53C23, 57M50
Keywords: Ricci flow, Ricci flow with surgery, $3$–manifolds, collapsing theory, long-time estimates for Ricci flows

Bamler, Richard 1

1 Department of Mathematics, University of California, Berkeley, CA, United States 
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Bamler, Richard. Long-time behavior of 3–dimensional Ricci flow, A : Generalizations of Perelman’s long-time estimates. Geometry & topology, Tome 22 (2018) no. 2, pp. 775-844. doi : 10.2140/gt.2018.22.775. http://geodesic.mathdoc.fr/articles/10.2140/gt.2018.22.775/

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