On the period spectrum of a symplectic mapping - Laboratoire Jacques-Louis Lions Accéder directement au contenu
Article Dans Une Revue Journal of Functional Analysis Année : 1991

On the period spectrum of a symplectic mapping

Résumé

Let M be a compact Riemannian manifold. It has been known for a long time that the singularities of the wave trace, trace(cos √Δt), are located at the periods of the closed geodesics. Do these singularities also contain information about the geometry of M in the neighborhood of a closed geodesic? We prove that the Birkhoff canonical form of the Poincaré map can be determined from the singularities of the wave trace.

Dates et versions

hal-01408147 , version 1 (03-12-2016)

Identifiants

Citer

Jean-Pierre Françoise, V. Guillemin. On the period spectrum of a symplectic mapping. Journal of Functional Analysis, 1991, 100 (2), pp.317 - 358. ⟨10.1016/0022-1236(91)90114-K⟩. ⟨hal-01408147⟩
201 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More