Professor Georges Habib, Ph.D.
Alfried Krupp Senior Fellow
(Oktober 2022 - September 2023)
Diplome d'Etudes Appronfondies in Mathematics, Lebanese University
PhD thesis in Mathematics, UHP, Nancy, France
Professor at the Department of Mathematics of the Faculty of Sciences II of the Lebanese University
Fellow-Projekt: „pp-wave on pseudo-Riemannian manifolds“
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.