Topics in Lorentzian and Finsler Geometry: geodesic flow and isometry group
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 |
Abstract 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) | |
News published in Agência FAPESP Newsletter about the scholarship: | |
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