Symmetric killing 2-tensors on riemannian Lie groups

• Grant number: 23/03360-0
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Start date: September 01, 2023
• End date: February 29, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Viviana Jorgelina Del Barco
• Grantee: Renan Berto Cuevas
• Supervisor: Andrei Moroianu
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: Université Paris-Sud (Paris 11), France
• Associated to the scholarship: 22/11934-3 - Geometry of Riemannian Lie groups, BP.MS

Abstract

This research project aims to address the decomposability of left-invariant symmetric Killing 2-tensors on 3-dimensional solvable Lie groups. This problem is a natural continuation of the master's project of the candidate, on which it is being studied left-invariant symmetric Killing tensors on Lie Groups endowed with Riemannian metrics. (AU)