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Estimates for the extinction time for the Ricci flow on certain  -manifolds and a question of Perelman
Author(s):
Tobias
H.
Colding;
William
P.
Minicozzi II
Journal:
J. Amer. Math. Soc.
18
(2005),
561-569.
MSC (2000):
Primary 53C44;
Secondary 53C42, 57M50
Posted:
April 13, 2005
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Abstract:
We show that the Ricci flow becomes extinct in finite time on any Riemannian  -manifold without aspherical summands.
References:
-
- 1.
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- 2.
- T.H. Colding and C. De Lellis, The min-max construction of minimal surfaces, Surveys in differential geometry, Vol. VIII (Boston, MA, 2002), 75-107, Surv. Differ. Geom., VIII, Int. Press, Somerville, MA, 2003, math.AP/0303305. MR 2039986 (2005a:53008)
- 3.
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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:
10.1090/S0894-0347-05-00486-8
PII:
S 0894-0347(05)00486-8
Keywords:
Ricci flow,
finite extinction,
$3$-manifolds,
min--max surfaces
Received by editor(s):
October 6, 2003
Posted:
April 13, 2005
Additional Notes:
The authors were partially supported by NSF Grants DMS 0104453 and DMS 0104187
Copyright of article:
Copyright
2005,
American Mathematical Society
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