Integrability of hamiltonian systems and the Maupertuis-Jacobi principle

• Grant number: 14/07193-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: July 01, 2014
• End date: June 30, 2015
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Alberto Vazquez Saa
• Grantee: Alexandre Béo da Cruz
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 13/09357-9 - Physics and geometry of spacetime, AP.TEM

Abstract

The project consists of the study of the underlying Jacobi geometry of a Hamiltonian system. The main aim is to investigate the viability of local geometric criteria for the integrability classification of Hamiltonian systems. (AU)