Gauss-Bonnet theorem for 2-dimensional foliations

DOI10.1016/0022-1236(88)90076-6zbMath0656.57017OpenAlexW2052037554MaRDI QIDQ1110139

Étienne Ghys

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90076-6

zbMATH Keywords

harmonic measurecompact Riemannian manifold2-dimensional oriented foliationGaussian curvature of leaf

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (11)

Foliated stochastic calculus: Harmonic measures ⋮ Holomorphic Anosov systems ⋮ Betti numbers and Euler's formula for combinatorial foliations ⋮ Prescribing the curvature of leaves of laminations: revisiting a theorem by Candel ⋮ Uniformization of the leaves of a rational vector field ⋮ Singular holomorphic foliations by curves. II: Negative Lyapunov exponent ⋮ Remark on a paper of E. Ghys ⋮ Hypersurfaces Levi-plates immergées dans les surfaces complexes de courbure positive☆ ⋮ Physical measures for the geodesic flow tangent to a transversally conformal foliation ⋮ Ergodic theorems for laminations and foliations: recent results and perspectives ⋮ Uniformization of surface laminations

Cites Work

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• Foliations, the ergodic theorem and Brownian motion
• Riemann's mapping theorem for variable metrics
• Foliations with measure preserving holonomy

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