Cohomologie bornée des surfaces et courants géodésiques

DOI10.24033/bsmf.2301zbMath0888.53049OpenAlexW2281840721MaRDI QIDQ4346070

Jean-Claude Picaud

Publication date: 7 June 1998

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1997__125_1_115_0

zbMATH Keywords

hyperbolic surfacesbounded cohomologygeodesic currentsPatterson-Sullivan construction

Mathematics Subject Classification ID

Integral geometry (53C65) Differential forms in global analysis (58A10) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items

Biharmonic functions on groups and limit theorems for quasimorphisms along random walks, Typical behaviour along geodesic rays in hyperbolic groups, Continuity conditions for finite-dimensional locally bounded representations of connected locally compact groups

Cites Work

• Remark on a paper of E. Ghys
• Le spectre marqué des longueurs des surfaces à courbure négative. (The spectrum marked by lengths of surfaces with negative curvature)
• Volume and bounded cohomology
• Bounded cohomology and \(\ell ^ 1-\hom o\log y\) of surfaces
• Manifolds of nonpositive curvature
• Surfaces et cohomologie bornée. (Surfaces and bounded cohomology)
• The geometry of Teichmüller space via geodesic currents
• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• Hausdorff dimension of quasi-circles
• Markov maps associated with Fuchsian groups
• On the cohomology of ergodic group actions
• Stable length of commutators
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• The limit set of a Fuchsian group
• Bounded Cohomology of Certain Groups of Homeomorphisms
• Geometrical Markov coding of geodesics on surfaces of constant negative curvature
• Numerical Invariants for Semiconjugacy of Homeomorphisms of the Circle
• The infinite word problem and limit sets in Fuchsian groups
• Ergodicity of harmonic invariant measures for the geodesic flow on hyperbolic spaces.
• Comparison theorems and orbit counting in hyperbolic geometry
• Riemannian geometry
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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