The reverse Brunn-Minkowski inequality

• Grant number: 24/22796-6
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: February 01, 2025
• End date: December 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Willian Hans Goes Corrêa
• Grantee: Thabata Radaeli
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 23/06973-2 - Interpolation theory and geometry of Banach Spaces, AP.JP

Abstract

The Brunn-Minkowski inequality is an important result of geometry, which relates the volume of two compact subsets of Euclidean space. In this work we will study a reverse version of these inequality, obtained using the theory of interpolation and quasi-normed spaces, obtained by Bastero, Bernués and Peña, and that extends results of Pisier.