Existence of Good Sweepouts on Closed Manifolds
Differential Geometry
2009-07-29 v2 Analysis of PDEs
Abstract
In this note we establish estimates for the harmonic map heat flow from 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.
Cite
@article{arxiv.0907.2724,
title = {Existence of Good Sweepouts on Closed Manifolds},
author = {Longzhi Lin and Lu Wang},
journal= {arXiv preprint arXiv:0907.2724},
year = {2009}
}
Comments
7 pages; added reference; corrected typos