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Title: Rigidity for perimeter inequalities under symmetrisation
Author: Perugini, Matteo
ISNI:       0000 0004 7967 3936
Awarding Body: University of Sussex
Current Institution: University of Sussex
Date of Award: 2019
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My PhD thesis contains a couple of results I obtained under the supervision of my advisor Filippo Cagnetti, during the past three years of my studies. In particular, I present two results about rigidity of perimeter inequality under symmetrization techniques. The first result, presented in Chapter 3, provides the characterization of rigidity for equality cases for the perimeter inequality under spherical symmetrization; whereas in Chapter 4 I will study the rigidity of equality cases for the Steiner's inequality for the anisotropic perimeter.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA0440 Geometry. Trigonometry. Topology