Black holes and self-gravitating structures: integrability, stability and chaos
Geometry of manifolds in the euclidian space and in the Minkowski space
| Grant number: | 14/04944-6 |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| Duration: | September 01, 2014 - August 31, 2015 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Farid Tari |
| Grantee: | Farid Tari |
| Visiting researcher: | Alexey Remizov |
| Visiting researcher institution: | École Polytechnique, France |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract
The research project contains problems which are connected with singularity theory, ordinary differential equations, differential geometry, and control theory. There is an interest in studying manifolds with singular metrics both in mathematics and in physics. In our research project, we concentrate on mathematical aspects of singular metrics, in particular, on singularities of geodesic flows and their behavior around the singular locus of the metric. We also propose to study singularities of geodesic flows in the Dirac problem and in singular Lagrangians. (AU)
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