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Journal of the American Mathematical Society

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ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2024 MCQ for Journal of the American Mathematical Society is 4.83.

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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

Abstract:

We show that the Ricci flow becomes extinct in finite time on any Riemannian $3$-manifold without aspherical summands.
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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