# Research Group

Differential Geometry and its Applications

## Research Lines

- Analysis on Lorentzian manifolds
- Causal structure of Space-times: Trapped Surfaces, Dynamical Horizons, Black Holes, Causal and Conformal Asintotic Boundary
- Concentration Optics
- Conjugate points and curvature on Lorentzian manifolds
- Differentiable Systems and Structures
- Geometry and Dynamics of Particles
- Hypersurfaces in Symmetric Spaces
- Magnetic fields and their trayectories
- Mathematical Relativity
- Minimal Surfaces
- Spacelike Hypersurfaces with Constant Mean Curvature
- Space-times admitting spatial actions by a circle
- Symmetries and Geodesics in Space-times
- Variational problems in Geometry and their applications to Physics