On the period spectrum of a symplectic mapping
Françoise , Jean-Pierre ; Guillemin, V.
HAL, hal-01408147 / Harvested from HAL
Text on HAL
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.
Publié le : 1991-07-04
Classification:  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-01408147,
     author = {Fran\c coise , Jean-Pierre  and Guillemin, V.},
     title = {On the period spectrum of a symplectic mapping},
     journal = {HAL},
     volume = {1991},
     number = {0},
     year = {1991},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01408147}
}

Françoise , Jean-Pierre ; Guillemin, V. On the period spectrum of a symplectic mapping. HAL, Tome 1991 (1991) no. 0, . http://gdmltest.u-ga.fr/item/hal-01408147/