Hermitian metrics inducing the Poincaré metric, in the leaves of a singular holomorphic foliation by curves

DOI10.1090/S0002-9947-04-03434-8zbMath1069.37039MaRDI QIDQ4813793

Julio Cesar Canille Martins, Alcides Lins Neto

Publication date: 13 August 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

uniformizationHermitian metricholomorphic foliationPoincaré metric

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (6)

Two remarks on the Poincaré metric on a singular Riemann surface foliation ⋮ On Grauert’s examples of complete Kähler metrics ⋮ Poincaré metric of holomorphic foliations with non-degenerate singularities ⋮ A few remarks on the Poincaré metric on a singular holomorphic foliation ⋮ Heat diffusions on holomorphic foliations with non-degenerate singularities ⋮ Regularity of the leafwise Poincaré metric on singular holomorphic foliations

Cites Work

• Problèmes de modules pour des équations différentielles non linéaires du premier ordre
• Invariant varieties through singularities of holomorphic vector fields
• Uniformization of the leaves of a rational vector field
• Uniformization of surface laminations
• Simultaneous uniformization for the leaves of projective foliations by curves
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