Harmonic 1-forms on the stable foliation

DOI10.1007/BF01321304zbMath0821.58034OpenAlexW2091067391MaRDI QIDQ4763950

François Ledrappier

Publication date: 19 September 1995

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01321304

zbMATH Keywords

cohomology classesgeodesic flowstable foliationasymptotic quantities

Mathematics Subject Classification ID

Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Potential theory on Riemannian manifolds and other spaces (31C12) Dynamical systems with hyperbolic behavior (37D99)

Related Items (2)

Unnamed Item ⋮ Le bas du spectre d'une variété hyperbolique est un point selle

Cites Work

• Foliations, the ergodic theorem and Brownian motion
• Closed orbits in homology classes
• Positive harmonic functions on complete manifolds of negative curvature
• Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation
• Negatively curved manifolds, elliptic operators, and the Martin boundary
• The ergodic theory of axiom A flows
• An explicit description of harmonic measure
• The central limit theorem for geodesic flows on \(n\)-dimensional manifolds of negative curvature
• Ergodic properties of Brownian motion on covers of compact negatively-curve manifolds
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