Canonical forms for -structures in pseudo-riemannian manifolds
Canonical lift and exit law of the fundamental diffusion associated with a kleinian group
Closed geodesics, periods and arithmetic of modular forms.
Cohomologie bornée des surfaces et courants géodésiques
Collective geodesic flows
We show that most compact semi-simple Lie groups carry many left invariant metrics with positive topological entropy. We also show that many homogeneous spaces admit collective Riemannian metrics arbitrarily close to the bi-invariant metric and whose geodesic flow has positive topological entropy. Other properties of collective geodesic flows are also discussed.
Conditions under which a Geodesic Flow is Anosov.
Connected components of the strata of the moduli spaces of quadratic differentials
In two fundamental classical papers, Masur [14] and Veech [21] have independently proved that the Teichmüller geodesic flow acts ergodically on each connected component of each stratum of the moduli space of quadratic differentials. It is therefore interesting to have a classification of the ergodic components. Veech has proved that these strata are not necessarily connected. In a recent work [8], Kontsevich and Zorich have completely classified the components in the particular case where the quadratic...
Convexes divisibles III
Correspondances géodésiques entre les surfaces euclidiennes à singularités coniques.
A. J. Montesinos has shown that a geodesic correspondence between two complete Riemannian manifolds with transitive topological geodesic flow is a homothety. In this paper we prove a similar result for a conformal geodesic correspondence between two singular flat surfaces with conical singularities and negative concentrated curvature.
Coxeter groups, Salem numbers and the Hilbert metric