Uniformization of the leaves of a rational vector field

DOI10.5802/aif.1488zbMath0832.32017OpenAlexW1965024435MaRDI QIDQ1903310

Alberto Candel, Xavier Gómez-Mont

Publication date: 28 November 1995

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1995__45_4_1123_0

zbMATH Keywords

uniformizationholomorphic foliations

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Singularities of holomorphic vector fields and foliations (32S65) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Dynamical systems over complex numbers (37F99)

Related Items (17)

Oseledec multiplicative ergodic theorem for laminations ⋮ Two remarks on the Poincaré metric on a singular Riemann surface foliation ⋮ Centennial History of Hilbert's 16th Problem ⋮ The hyperbolicity of phase curves of a generic polynomial vector field in \(\mathbb{C}^ n\) ⋮ Hermitian metrics inducing the Poincaré metric, in the leaves of a singular holomorphic foliation by curves ⋮ On Grauert’s examples of complete Kähler metrics ⋮ Foliated affine and projective structures ⋮ Topology and complex structures of leaves of foliations by Riemann surfaces ⋮ Leafwise Brownian motions and some function theoretic properties of laminations ⋮ A few remarks on the Poincaré metric on a singular holomorphic foliation ⋮ Heat equation and ergodic theorems for Riemann surface laminations ⋮ Structure of leaves and the complex Kupka-Smale property ⋮ Riemann surface laminations with singularities ⋮ Unique ergodicity of harmonic currents on singular foliations of \({\mathbb{P}^2}\) ⋮ On the dynamics of Riccati foliations with nonparabolic monodromy representations ⋮ Simultaneous uniformization for the leaves of projective foliations by curves ⋮ Complex projective foliations having sub-exponential growth

Cites Work

• Gauss-Bonnet theorem for 2-dimensional foliations
• Minimal sets of foliations on complex projective spaces
• The hyperbolicity of phase curves of a generic polynomial vector field in \(\mathbb{C}^ n\)
• Uniformization of surface laminations
• Compact Manifolds and Hyperbolicity
• Simultaneous uniformization for the leaves of projective foliations by curves
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