Uniformization and the Poincar� metric on the leaves of a foliation by curves

DOI10.1007/BF01241634zbMath0987.37039MaRDI QIDQ2710399

Alcides Lins Neto

Publication date: 27 June 2002

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

zbMATH Keywords

holomorphic foliationPoincaré metric

Mathematics Subject Classification ID

Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (24)

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 ⋮ Singular holomorphic foliations by curves. I: Integrability of holonomy cocycle in dimension 2 ⋮ On Grauert’s examples of complete Kähler metrics ⋮ Geometric characterization of Lyapunov exponents for Riemann surface laminations ⋮ Topology and complex structures of leaves of foliations by Riemann surfaces ⋮ Poincaré metric of holomorphic foliations with non-degenerate singularities ⋮ Unique ergodicity for foliations in \(\mathbb {P}^2\) with an invariant curve ⋮ A few remarks on the Poincaré metric on a singular holomorphic foliation ⋮ Singular holomorphic foliations by curves. III: Zero Lelong numbers ⋮ Heat diffusions on holomorphic foliations with non-degenerate singularities ⋮ Regularity of the leafwise Poincaré metric on singular holomorphic foliations ⋮ Singular holomorphic foliations by curves. II: Negative Lyapunov exponent ⋮ Singular sets of holonomy maps for algebraic foliations ⋮ Heat equation and ergodic theorems for Riemann surface laminations ⋮ Some open problems on holomorphic foliation theory ⋮ Ergodic theorems for laminations and foliations: recent results and perspectives ⋮ Almost complex structures on universal coverings of foliations ⋮ Uniformization of foliations with hyperbolic leaves and the Beltrami equation with parameters ⋮ On elliptic modular foliations ⋮ Directed harmonic currents near hyperbolic singularities ⋮ Unique ergodicity for foliations on compact Kähler surfaces ⋮ Logarithmic foliations on compact algebraic surfaces

Cites Work

• Algebraic surfaces and holomorphic vector bundles
• Uniformization of surface laminations
• Simultaneous uniformization for the leaves of projective foliations by curves
• Reduction of Singularities of the Differential Equation Ady = Bdx
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Uniformization and the Poincar� metric on the leaves of a foliation by curves