闭流形上良好Sweepout的存在性
Existence of Good Sweepouts on Closed Manifolds
摘要：
本文建立了从$S^1$到闭流形的调和映射热流的估计，并利用它构造了具有以下良好性质的sweepout：收紧sweepout中的每一条曲线，其能量接近于sweepout中曲线的最大能量，其本身接近于一条闭测地线.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
