Sur la géométrie symplectique de l’espace des géodésiques d’une variété à courbure négative. (On the symplectic geometry of the space of geodesics of a manifold with negative curvature). (French) Zbl 0777.53042

Otal, Jean-Pierre

Rev. Mat. Iberoam. 8, No. 3, 441-456 (1992).

This is an important paper. The author obtains interesting results on the symplectic geometry of the space of geodesics of a manifold with negative curvature, following a generalization of the notion of symplectic birapport. Some topological results are obtained, and will surely stimulate the interest and imagination of any reader.

Reviewer: P.Stavre (Craiova)

MSC:

53C22

Geodesics in global differential geometry

Keywords:

hyperbolic manifolds; symplectic geometry; symplectic birapport