## Research

We will analyse systematically specific properties of Lorentzian manifolds,

paying a special attention to several variational problems applicable to

Mathematical Relativity and other areas of Theoretical Physics. Some techniques

can be extended to geometries which do not have an indefinite character, as the

classical Riemannian and Finslerian ones.

This project is based on the research developed in previous projects

by a stable base of the applicant team, which is now grouped in two sub-projects.

Semi-Riemannian Geometry and Variational Problems in Mathematical Physics
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