Geometric dynamics between São Paulo and New York

• Grant number: 22/14254-3
• Support Opportunities: Regular Research Grants
• Start date: March 01, 2023
• End date: February 28, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Mobility Program: SPRINT - Projetos de pesquisa - Mobilidade
• Principal Investigator: Paolo Piccione
• Grantee: Paolo Piccione
• Principal researcher abroad: Renato Ghini Bettiol
• Institution abroad: City University of New York (CUNY), United States
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated researchers: André Salles de Carvalho ; Fábio Armando Tal ; Patricia Romano Cirilo
• Associated research grant: 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis, AP.TEM

Abstract

This is a research project in the area of Dynamical Systems and Riemannian Geometry that will be carried out by researchers based at the City University of New York, EUA, the Universidade de São Paulo and the Universidade Federal do Estado de São Paulo. Dynamics in ow dimension, transition to chaos, geodesics in manifolds with singular boundary, minimal surfaes, dynamics of the Henon family, are among the themes of the project. (AU)