Pseudo-Riemannian geodesic foliations by circles

Link:

https://doi.org/10.1007/s00209-012-1066-0

Autor/in:

Erscheinungsjahr:

2013

Medientyp:

Text

Schlagworte:

Article
Article

Beschreibung:

We investigate under which assumptions an orientable pseudo-Riemannian geodesic foliations by circles is generated by an S 1-action. We construct examples showing that, contrary to the Riemannian case, it is not always true. However, we prove that such an action always exists when the foliation does not contain lightlike leaves, i.e. a pseudo-Riemannian Wadsley's Theorem. As an application, we show that every Lorentzian surface all of whose spacelike/timelike geodesics are closed, is finitely covered by S1 × ℝ. It follows that every Lorentzian surface contains a nonclosed geodesic. © 2012 Springer-Verlag.

Lizenz:

info:eu-repo/semantics/closedAccess

Quellsystem:

Forschungsinformationssystem der UHH

Interne Metadaten

Quelldatensatz: oai:www.edit.fis.uni-hamburg.de:publications/ce766752-7cdd-4e2c-9d0e-1d35f336ac61