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Estimates for the extinction time for the Ricci flow on certain  -manifolds and a question of Perelman |
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| Authors: | Tobias H. Colding William P. Minicozzi II |
| Affiliation: | Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, New York 10012 ; Department of Mathematics, Johns Hopkins University, 3400 N. Charles Street, Baltimore, Maryland 21218 |
| Abstract: | We show that the Ricci flow becomes extinct in finite time on any Riemannian  -manifold without aspherical summands. |
| Keywords: | Ricci flow finite extinction $3$-manifolds min--max surfaces |
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