UC Santa Cruz
Existence of good sweepouts on closed manifolds
- Author(s): Lin, Longzhi
- Wang, Lu
- et al.
Published Web Locationhttps://doi.org/10.1090/s0002-9939-2010-10451-3
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.