Integral formulas for the Laplacian along the unstable foliation and applications to rigidity problems for manifolds of negative curvature

DOI10.1017/S0143385700006507zbMath0756.58042OpenAlexW2127056150MaRDI QIDQ4007824

Chengbo Yue

Publication date: 27 September 1992

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700006507

zbMATH Keywords

geodesic flowLaplaciannegative curvature

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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Central limit theorem of Brownian motions in pinched negative curvature ⋮ A Heat Kernel Characterization of Asymptotic Harmonicity ⋮ Harmonic measures for compact negatively curved manifolds ⋮ Self‐adjoint Laplacians and symmetric diffusions on hyperbolic attractors

Cites Work

• Harmonic measures and Bowen-Margulis measures
• Positive harmonic functions on complete manifolds of negative curvature
• Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation
• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• Certain measures associated with U-flows on compact manifolds
• Markov partitions for Anosov flows on \(n\)-dimensional manifolds