Kobayashi hyperbolicity of almost complex manifolds

1998/05/28 by R. Debalme, Debalme, R.
Mathematics · #32H20 #53C15 #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.CV #math.DG #msc:32H20 #msc:53C15

paper · pdf · doi:10.48550/arxiv.math/9805130

6 pages, AMSTeX

arxiv created 1998/05/28 · openalex publication_date 1998/05/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Our goal here is to give a simple proof of the non integrable version of Brody's characterisation theorem.

Related

• The arithmetic and the geometry of Kobayashi hyperbolicity
• Properties and examples of Kobayashi hyperbolic Riemannian manifolds
• The Kobayashi pseudodistance on almost complex manifolds
• Analytic stacks and hyperbolicity
• Pseudo Kobayashi hyperbolicity of base spaces of families of minimal projective manifolds with maximal variation