Self-propelled of articulated bodies in curved spaces via Gauge theories

• Grant number: 17/25427-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: March 01, 2018
• End date: December 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Ricardo Antonio Mosna
• Grantee: Aline Leite Vilela D Oliveira
• 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 aim of this project is to study the fundamentals of gauge theories in the context of classical mechanics. Special attention will be given to models of self-propelling bodies in curved spaces (swimming effect). With that in mind, we will study the theory of connections on fiber bundles and apply it to concrete models of articulated bodies, for which there is interaction between the curvatures coming from the ambient space and the connection. (AU)