Geometric measure Theory and Isoperimetric problems

• Grant number: 17/13155-3
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: January 01, 2018
• Status: Discontinued
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Paolo Piccione
• Grantee: Luis Eduardo Osorio Acevedo
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The project proposes the study of several problems in the area of Riemannian isopeimetry, including a celebrated conjecture by T. Aubin on an isoperimetric inequality of Euclidean type for Hadamard manifolds.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

NARDULLI, STEFANO; OSORIO ACEVEDO, LUIS EDUARDO. Sharp Isoperimetric Inequalities for Small Volumes in Complete Noncompact Riemannian Manifolds of Bounded Geometry Involving the Scalar Curvature. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v. 2020, n. 15, p. 4667-4720, AUG 2020. (17/13155-3)

BENCI, VIERI; NARDULLI, STEFANO; PICCIONE, PAOLO; ACEVEDO, LUIS EDUARDO OSORIO. Lusternik-Schnirelman and Morse Theory for the Van der Waals-Cahn-Hilliard equation with volume constraint. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 220, p. 29-pg., 2022-03-18. (16/23746-6, 21/05256-0, 17/13155-3, 18/22938-4)