| Grant number: | 16/07029-2 |
| Support type: | Scholarships in Brazil - Doctorate |
| Effective date (Start): | July 01, 2016 |
| Effective date (End): | February 29, 2020 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Luiz Antonio Barrera San Martin |
| Grantee: | Carlos Augusto Bassani Varea |
| Home Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
| Associated research grant: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems, AP.TEM |
Abstract The purpose of this research project is to study invariant generalized complex structures (Dirac structures) on homogeneous spaces. The emphasis will be put on flag manifolds of semi-simple Lie groups. As a starting point the pseudo structures will be studied without asking questions of integrability. In a second step the integrabillity given by the Courant bracket will be considered. It is to be expected that the results obtained on the flag manifolds open the way to study other homogeneous spaces. | |