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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
Effective date (Start): September 01, 2023
Effective date (End): 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
Research place: 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)

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