Estimates for the extinction time for the Ricci flow on certain manifolds and a question of Perelman
Authors:
Tobias H. Colding and William P. Minicozzi II
Journal:
J. Amer. Math. Soc. 18 (2005), 561569
MSC (2000):
Primary 53C44; Secondary 53C42, 57M50
Published electronically:
April 13, 2005
MathSciNet review:
2138137
Fulltext PDF Free Access
Abstract 
References 
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Additional Information
Abstract: We show that the Ricci flow becomes extinct in finite time on any Riemannian manifold without aspherical summands.
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Additional Information
Tobias H. Colding
Affiliation:
Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, New York 10012
Email:
colding@cims.nyu.edu
William P. Minicozzi II
Affiliation:
Department of Mathematics, Johns Hopkins University, 3400 N. Charles Street, Baltimore, Maryland 21218
Email:
minicozz@math.jhu.edu
DOI:
http://dx.doi.org/10.1090/S0894034705004868
PII:
S 08940347(05)004868
Keywords:
Ricci flow,
finite extinction,
$3$manifolds,
minmax surfaces
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
Article copyright:
© Copyright 2005 American Mathematical Society
