Topological methods and the existence/non-existence problem of Einstein metrics on homogeneous spaces

• Grant number: 23/04484-4
• 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: Lino Anderson da Silva Grama
• Grantee: Otávio Cunha Oliveira
• Supervisor: Bohm Christoph
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: University of Munster, Germany
• Associated to the scholarship: 21/13585-3 - Topological methods and the existence/non-existence problem of Einstein metrics on homogeneous spaces, BP.MS

Abstract

The proposed project consists of applying topological methods and Lie theoretical methods (Lie groups and Lie algebras) to the study of the Einstein metrics problem in homogeneous spaces. Such techniques will be applied to a family of homogeneous spaces, called real flag manifolds. (AU)