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Geometry of Riemannian Lie groups

Grant number: 22/11934-3
Support Opportunities:Scholarships in Brazil - Master
Effective date (Start): November 01, 2022
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Viviana Jorgelina del Barco
Grantee:Renan Berto Cuevas
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Associated research grant:18/13481-0 - Geometry of control, dynamical and stochastic systems, AP.TEM
Associated scholarship(s):23/03360-0 - Symmetric Killing 2-tensors on Riemannian Lie groups, BE.EP.MS


The present project aims to study the geometry of Lie groups equipped with left-invariant Riemannian metrics, with special interest on left-invariant Killing symmetric tensors defined on them. More precisely, it is intended that the student reviews recent articles on these topics, which mainly address nilpotent Lie groups. After this study, the extent of the techniques used in these articles will be evaluated to address a possible classification of such structures into low-dimensional solvable Lie groups.

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