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arXiv:0907.2724 [math.DG]AbstractReferencesReviewsResources

Existence of Good Sweepouts on Closed Manifolds

Longzhi Lin, Lu Wang

Published 2009-07-16, updated 2009-07-29Version 2

In this note we establish estimates for the harmonic map heat flow from $S^1$ into a closed manifold, and 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.

Comments: 7 pages; added reference; corrected typos
Categories: math.DG, math.AP
Subjects: 53C22, 53C44
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