Séminaire de Physique Théorique
Projective differential geometry and asymptotic analysis in General Relativity
par
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Europe/Paris
salle 1180 (IDP Tours)
salle 1180
IDP Tours
Institut Denis Poisson
Université de Tours
Facultés des Sciences et Techniques
Bâtiment E2, Parc de Grandmont
37200 Tours FRANCE
Description
Every Lorentzian manifold (M,g) has a natural projective structure induced by its Levi-Civita connection. In some cases, M can be embedded into a manifold with boundary {\bar M}, in which the projective structure extends to the boundary: (M,g) is then said to be projectively compact. In this talk, we will discuss applications of the projective structure to the asymptotic analysis of partial differential equations, in particular a generalized Proca equation, on projectively compact Lorentzian manifolds.