The perimeter inequality under Steiner symmetrization: Cases of equality

Abstract

Steiner symmetrization is known not to increase perimeter of sets in $\mathbb{R}^n$. The sets whose perimeter is preserved under this symmetrization are characterized in the present paper.

Authors

Miroslav Chlebík

Max-Planck-Institut für Mathematik in den Naturwissenschaften
04103 Leipzig
Germany

Andrea Cianchi

Dipartimento di Matematica
Università degli Studi di Firenze
50134 Firenze
Italy

Nicola Fusco

Facoltà di Scienze Matematiche Fisiche e Naturali
Università degli Studi di Napoli
80126 Napoli
Italy