A non-archimedean approach to the Riemannian isoperimetric problem

• Grant number: 15/01997-4
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: March 15, 2015
• End date: April 14, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Paolo Piccione
• Grantee: Paolo Piccione
• Visiting researcher: Vieri Benci
• Visiting researcher institution: Università di Pisa, Italy
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 11/21362-2 - Group actions, submanifold theory and global analysis in Riemannian and pseudo-Riemannian geometry, AP.TEM

Abstract

Using the so-called Lambda-theory, which is a version of non-standard analysis adapted to variational problems), we want to study the existence of isoperimetric regions in Riemannian and Finsler manifolds. (AU)