Existence of good sweepouts on closed manifolds
- Autores: Longzhi Lin, Lu Wang
- Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 11, 2010, págs. 4081-4088
- Idioma: inglés
- DOI: 10.1090/s0002-9939-2010-10451-3
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Resumen
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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