Quasihomogeneous three-dimensional real analytic Lorentz metrics

Sorin Dumitrescu (1)

1 LJAD - Laboratoire Jean Alexandre Dieudonné

We classify germs at the origin of real analytic Lorentz metrics on R^3 which are quasihomogeneous, in the sense that they are locally homogeneous on an open set containing the origin in its closure, but not locally homogeneous in the neighborhood of the origin.

Mots clés: real analytic Lorentz metrics; transitive Killing Lie algebras; local differential invariants

Domaines: Géométrie différentielle [math.DG]

Sorin Dumitrescu. Quasihomogeneous three-dimensional real analytic Lorentz metrics. 2014. ⟨hal-00935722v1⟩