2 Minuten mit Professor Georges Habib, Ph.D.

The project deals with questions arising in the fields of differential geometry and theoretical physics. It mainly treats problems that involve analytic and algebraic techniques and is motivated by recent developments in the study of pseudo-Riemannian manifolds. Amongst the main thrusts of the proposed research are the study of geodesic completeness on these type of manifolds which provides the essential tools in characterizing the topology and geometry. Therefore we are interested to understand the aspect of complete pseudo-Riemannian manifolds from different points of view and to single out a particular family among them to which some symmetry occurs. This symmetry plays a crucial role and re ects several properties that can be completely classify them. This amounts to describing such manifolds in terms of physical objects.