### Rigidity of equality cases in perimeter inequality for spherical symmetrization

Analysis and Geometry Seminar

31st October 2017, 3:00 pm – 4:00 pm

Howard House, 2nd Floor Seminar Room

The main ideas behind the proof of the Spherical perimeter inequality are presented. Moreover, I will show the characterization results for rigidity of equality cases for the perimeter inequality in the spherical symmetrization (by rigidity we mean the situation when all the equality cases are rotations around the origin of the spherical symmetral under consideration). This is a joint work in collaboration with Filippo Cagnetti and Dominik Stöger.

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