Some mechanical applications in Riemannian and Finslerian geometry

• Grant number: 19/22488-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2019
• End date: October 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Marcos Martins Alexandrino da Silva
• Grantee: Guilherme Cerqueira Gonçalves
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis, AP.TEM

Abstract

In this project, the candidate will be introduced to the Lagrangean and Hamiltonean language, as well as applications in Riemannian geometry and Finsler Geometry, among them Jacobi metrics and geodesics in Randers spaces.