Estimates for the extinction time for the Ricci flow on certain $3$-manifolds and a question of Perelman
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- by Tobias H. Colding and William P. Minicozzi II;
- J. Amer. Math. Soc. 18 (2005), 561-569
- DOI: https://doi.org/10.1090/S0894-0347-05-00486-8
- Published electronically: April 13, 2005
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Abstract:
We show that the Ricci flow becomes extinct in finite time on any Riemannian $3$-manifold without aspherical summands.References
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Bibliographic Information
- Tobias H. Colding
- Affiliation: Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, New York 10012
- MR Author ID: 335440
- Email: colding@cims.nyu.edu
- William P. Minicozzi II
- Affiliation: Department of Mathematics, Johns Hopkins University, 3400 N. Charles Street, Baltimore, Maryland 21218
- MR Author ID: 358534
- Email: minicozz@math.jhu.edu
- Received by editor(s): October 6, 2003
- Published electronically: April 13, 2005
- Additional Notes: The authors were partially supported by NSF Grants DMS 0104453 and DMS 0104187
- © Copyright 2005 American Mathematical Society
- Journal: J. Amer. Math. Soc. 18 (2005), 561-569
- MSC (2000): Primary 53C44; Secondary 53C42, 57M50
- DOI: https://doi.org/10.1090/S0894-0347-05-00486-8
- MathSciNet review: 2138137