Foliations by closed geodesics of unbounded length

Pierre Mounoud (1)

1 IMB - Institut de Mathématiques de Bordeaux

We give examples of compact pseudo-Riemannian manifolds endowed with a foliation $\mathcal F$ whose leaves are closed geodesics of unbounded (Riemannian) length. Our examples show that the set of lightlike leaves of $\mathcal F$ can either be the whole manifold or a proper subset of it (it cannot be empty by a result of S. Suhr).

Domaines: Géométrie différentielle [math.DG]

Pierre Mounoud. Foliations by closed geodesics of unbounded length. 2011. ⟨hal-00654794v1⟩