Existence of good sweepouts on closed manifolds
Authors:
Longzhi Lin and Lu Wang
Journal:
Proc. Amer. Math. Soc. 138 (2010), 40814088
MSC (2010):
Primary 53C22; Secondary 58J35
Published electronically:
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:
http://dx.doi.org/10.1090/S000299392010104513
Received by editor(s):
October 8, 2009
Received by editor(s) in revised form:
February 4, 2010
Published electronically:
May 26, 2010
Communicated by:
Richard A. Wentworth
Article copyright:
© Copyright 2010
American Mathematical Society
