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

• Grant number: 21/13585-3
• Support Opportunities: Scholarships in Brazil - Master
• Start date: June 01, 2022
• End date: August 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Lino Anderson da Silva Grama
• Grantee: Otávio Cunha Oliveira
• 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): 23/04484-4 - Topological methods and the existence/non-existence problem of Einstein metrics on homogeneous spaces, BE.EP.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.

Academic Publications

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

OLIVEIRA, Otávio Cunha. Métodos topológicos aplicados ao problema de existência/não-existência de métricas de Einstein em espaços homogêneos. 2024. Master's Dissertation - Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica Campinas, SP.