Formes normales pour les champs conformes pseudo-riemanniens

Details Formes normales pour les champs conformes pseudo-riemanniens Formes normales pour les champs conformes pseudo-riemanniens

2010-08-23

arxiv.org/abs/1008.3781v1

Mathematics

Differential Geometry

49 pages

Scientific paper

We establish normal forms for conformal vector fields on pseudo-Riemannian manifolds in the neighborhood of a singularity. For real-analytic Lorentzian manifolds, we show that the vector field is analytically linearizable or the manifold is conformally flat. In either case, the vector field is locally conjugate to a normal form on a model space. For smooth metrics of general signature, we obtain the analogous result under the additional assumption that the differential of the flow at the fixed point is bounded.

Affiliated with

Also associated with

No associations

Rating

Formes normales pour les champs conformes pseudo-riemanniens does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Formes normales pour les champs conformes pseudo-riemanniens, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Formes normales pour les champs conformes pseudo-riemanniens will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-465654