Geometry of interconnected mechanical systems

• Grant number: 24/06702-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2024
• End date: July 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Marcos Martins Alexandrino da Silva
• Grantee: Paulo Davi Fernandes Pereira
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 22/16097-2 - Modern methods in differential geometry and geometric analysis, AP.TEM

Abstract

The project aims to stimulate the study of Riemannian Geometry tools (metric, Riemannian connection and geodesic) stressing how such tools help in modeling certain interconnected mechanical systems presented in Geometric Control Theory.