The perimeter inequality under Steiner symmetrization: Cases of equality

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Abstract

Steiner symmetrization is known not to increase perimeter of sets in ℝn. The sets whose perimeter is preserved under this symmetrization are characterized in the present paper.

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Chlebík, M., Cianchi, A., & Fusco, N. (2005). The perimeter inequality under Steiner symmetrization: Cases of equality. Annals of Mathematics, 162(1), 525–555. https://doi.org/10.4007/annals.2005.162.525

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