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Closed geodesics on Riemannian stacks

Grant number: 22/11994-6
Support Opportunities:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): March 01, 2023
Effective date (End): May 27, 2023
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Cristián Andrés Ortiz González
Grantee:Fabricio Valencia Quintero
Supervisor: Luca Vitagliano
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Research place: Università degli Studi di Salerno, Italy  
Associated to the scholarship:20/07704-7 - Morse theory on Lie groupoids and stacks, BP.DR


In this project we propose to start the study of the problem concerning the existence of closed geodesics on a Riemannian stack. For that purpose we plan to study the properties of the energy functional defined over stacky curves as well as a proper notion of Jacobi field along stacky geodesics on the Riemannian stack. This proposal is framed in the Fapesp project "Morse theory on Lie groupoids and stacks'' process number 2020/07704-7. (AU)

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