The Hausdorff dimension of the harmonic class on negatively curved surfaces

DOI10.1007/BF02921711zbMath0963.53018OpenAlexW2054984869MaRDI QIDQ1568969

Gonzalo Contreras

Publication date: 22 June 2000

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921711

zbMATH Keywords

Brownian motionHausdorff dimensionnegative curvatureBanach manifold

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Manifolds of metrics (especially Riemannian) (58D17)

Cites Work

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• Riemann's mapping theorem for variable metrics
• The Dirichlet problem at infinity for manifolds of negative curvature
• The Dirichlet problem at infinity for a negatively curved manifold
• Regularity of topological and metric entropy of hyperbolic flows
• Positive harmonic functions on complete manifolds of negative curvature
• Manifolds of nonpositive curvature
• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• The ergodic theory of axiom A flows
• Riemannian manifolds with geodesic flow of Anosov type
• Differentiability, rigidity and Godbillon-Vey classes for Anosov flows
• Flots d'Anosov sur les 3-variétés fibrées en cercles
• Hausdorff Dimension of Harmonic Measures on Negatively Curved Manifolds
• Four applications of conformal equivalence to geometry and dynamics
• A relation between Lyapunov exponents, Hausdorff dimension and entropy
• Ergodic properties of Brownian motion on covers of compact negatively-curve manifolds
• Invariant manifolds

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