PLURISUBHARMONIC VARIATION OF THE LEAFWISE POINCARÉ METRIC

DOI10.1142/S0129167X03001697zbMath1052.32027OpenAlexW2041615033MaRDI QIDQ4474412

Marco Brunella

Publication date: 12 July 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x03001697

zbMATH Keywords

one-dimenisonal holomorphic foliationPoincaré metric on the leaves

Mathematics Subject Classification ID

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

Related Items (11)

Curves on surfaces of mixed characteristic ⋮ Foliated affine and projective structures ⋮ 2-dimensional Lie algebras and separatrices for vector fields on \((\mathbb{C}^3, 0)\) ⋮ Vanishing cycles in holomorphic foliations by curves and foliated shells ⋮ Unnamed Item ⋮ Uniformizing complex ODEs and applications ⋮ Almost complex structures on universal coverings of foliations ⋮ A POSITIVITY PROPERTY FOR FOLIATIONS ON COMPACT KÄHLER MANIFOLDS ⋮ Recent results on the Kobayashi and Green-Griffiths-Lang conjectures ⋮ Kähler manifolds with split tangent bundle ⋮ On nonimbeddability of Hartogs figures into complex manifolds

Cites Work

• The Hartogs-type extension theorem for meromophic mappings into compact Kähler manifolds
• Covering manifolds for analytic families of leaves of foliations by analytic curves
• Structure of the moduli space in a neighborhood of a cusp-curve and meromorphic hulls
• PSEUDO-EFFECTIVE LINE BUNDLES ON COMPACT KÄHLER MANIFOLDS
• Unnamed Item

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