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Complex manifolds with nonpositive holomorphic sectional curvature and hyperbolicity

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Publication:755726
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DOI10.2748/tmj/1178229983zbMath0418.32019OpenAlexW2036336410MaRDI QIDQ755726

Shoshichi Kobayashi

Publication date: 1978

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229983


zbMATH Keywords

hyperbolic complex manifoldcomplex manifolds


Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Geodesics in global differential geometry (53C22) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Complex manifolds (32Q99)


Related Items (3)

Weakly Kähler hyperbolic manifolds and the Green-Griffiths-Lang conjecture ⋮ Theorems of Brody and Green on conditions for complete hyperbolicity of complex manifolds ⋮ Picard's theorem and hyperbolicity



Cites Work

  • Unnamed Item
  • Compact Manifolds and Hyperbolicity
  • On Preserving the Kobayashi Pseudodistance
  • Moving Holomorphic Disks off Analytic Subsets
  • Holomorphic Maps to Complex Tori


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