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math.DG2014
Optimal sweepouts of a Riemannian 2-sphere
Gregory R. Chambers, Yevgeny Liokumovich
Given a sweepout of a Riemannian 2-sphere which is composed of curves of length less than L, we construct a second sweepout composed of curves of length less than L which are eithe…
math.FA2014★ 6 cited
Geometric stability of the Coulomb energy
Almut Burchard, Gregory R. Chambers
The Coulomb energy of a charge that is uniformly distributed on some set is maximized (among sets of given volume) by balls. It is shown here that near-maximizers are close to ball…