Citations:sweepout


 * 2009 Longzhi Lin, Lu Wang, "Existence of Good Sweepouts on Closed Manifolds" arXiv
 * 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.
 * 2012 A. H. Mujtaba, C. N. Pope, "The Hoop Conjecture for Black Rings" arXiv
 * The invariant \beta is the least maximal length of any sweepout of the 2-sphere apparent horizon by circles. An analogous conjecture in five spacetime dimensions was recently formulated, asserting that the Birkhoff invariant \beta for S^1\times S^1 sweepouts of the apparent horizon should satisfy \beta \le (16/3)\pi M.