Geometry of Riemannian Lie groups

• Grant number: 22/11934-3
• Support Opportunities: Scholarships in Brazil - Master
• Start date: November 01, 2022
• End date: August 31, 2024
• 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

Abstract

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.

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

CUEVAS, Renan Berto. Tensores simétricos de Killing em grupos de Lie riemannianos. 2024. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.