Mathematics – Differential Geometry
Scientific paper
2009-07-23
Mathematics
Differential Geometry
17 pages
Scientific paper
We prove the semi-Riemannian bumpy metric theorem using equivariant variational genericity. The theorem states that, on a given compact manifold $M$, the set of semi-Riemannian metrics that admit only nondegenerate closed geodesics is generic relatively to the $C^k$-topology, $k=2,...,\infty$, in the set of metrics of a given index on $M$. A higher order genericity Riemannian result of Klingenberg and Takens is extended to semi-Riemannian geometry.
Biliotti Leonardo
Javaloyes Miguel Angel
Piccione Paolo
No associations
LandOfFree
On the semi-Riemannian bumpy metric theorem 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 On the semi-Riemannian bumpy metric theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the semi-Riemannian bumpy metric theorem will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-354794