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Existence of good sweepouts on closed manifolds
Author(s):
Longzhi
Lin;
Lu
Wang
Journal:
Proc. Amer. Math. Soc.
138
(2010),
4081-4088.
MSC (2010):
Primary 53C22;
Secondary 58J35
Posted:
May 26, 2010
MathSciNet review:
2679629
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Abstract:
In this note we establish estimates for the harmonic map heat flow from  into a closed manifold, and we use it to construct sweepouts with the following good property: each curve in the tightened sweepout, whose energy is close to the maximal energy of curves in the sweepout, is itself close to a closed geodesic.
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Additional Information:
Longzhi
Lin
Affiliation:
Department of Mathematics, Johns Hopkins University, 3400 N. Charles Street, Baltimore, Maryland 21218
Email:
lzlin@math.jhu.edu
Lu
Wang
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139
Email:
luwang@math.mit.edu
DOI:
10.1090/S0002-9939-2010-10451-3
PII:
S 0002-9939(2010)10451-3
Received by editor(s):
October 8, 2009
Received by editor(s) in revised form:
February 4, 2010
Posted:
May 26, 2010
Communicated by:
Richard A. Wentworth
Copyright of article:
Copyright
2010,
American Mathematical Society
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