Isometries of pseudo-Riemannian Lie group

• Grant number: 24/20084-9
• Support Opportunities: Scholarships in Brazil - Master
• Start date: April 01, 2025
• Status: Discontinued
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Viviana Jorgelina Del Barco
• Grantee: Marcos Ricardo Cavicchioli de Almeida
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated scholarship(s): 25/14150-1 - Classification of bi-invariant metrics on 4-dimensional Lie groups, BE.EP.MS

Abstract

This project aims to understand research techniques in the geometry of pseudo-Riemannian Lie groups that have a left-invariant metric. This can be done by studying the group of isometries of these varieties. The focus is on certain low-dimensional solvable pseudo-Riemannian Lie groups, and on understanding the known results to carry out a possible extension of these results to more general cases.