A bumpy metric theorem and the Poisson relation for generic strictly convex domains.
A characterization of harmonic foliations by the volumepreserving property of the normal geodesic flow.
A new curvature invariant and entropy of geodesic flow.
A note on counting cuspidal excursions.
A recursive scheme of first integrals of the geodesic flow of a Finsler manifold.
A Simple Proof of Borel's Density Theorem.
A Symbolic Dynamics for Geodesics on Punctured Riemann Surfaces.
Absolute continuity, Lyapunov exponents and rigidity I: geodesic flows
We consider volume-preserving perturbations of the time-one map of the geodesic flow of a compact surface with negative curvature. We show that if the Liouville measure has Lebesgue disintegration along the center foliation then the perturbation is itself the time-one map of a smooth volume-preserving flow, and that otherwise the disintegration is necessarily atomic.
Affine Parts of Abelian Surfaces as Complete Intersections of Four Quadrics.
Algèbres différentielles en théorie des champs
Les algèbres différentielles sont apparues comme des outils commodes ou même inévitables pour exprimer les symétries continues, exactes ou brisées, suivant la situation physique envisagée, dans le cadre de l’algorithme de Feynman de la théorie quantique des champs perturbative. Les algèbres de courants, les théories de Yang-Mills, la première quantification de la corde, sont proposées comme exemples classiques.
Almost Kenmotsu -manifolds.
An integrable flow on a family of Hilbert Grassmannians.
Axial Isometries of Manifolds of Non-Positive Curvature.
Billards en polygones et groupes fuchsiens
Bound states in completely integrable systems with two types of particles
Brownian motion on a surface of negative curvature
Canonical forms for -structures in pseudo-riemannian manifolds
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.