2003/07/25 by H. Gaussier, Gaussier, H., Alexandre Sukhov +2
Mathematics · #32H02 #32H40 #32T15 #53C15 #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory #math.CV #math.DG #msc:32H02 #msc:32H40 #msc:32T15 #msc:53C15
paper · pdf · doi:10.48550/arxiv.math/0307334
date de redaction: 2003-4-3
openalex publication_date 2003/07/25 · arxiv created 2004/02/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish a lower estimate for the Kobayashi-Royden infinitesimal pseudometric on an almost complex manifold (M,J) admitting a bounded strictly plurisubharmonic function. We apply this result to study the boundary behaviour of the metric on a strictly pseudoconvex domain in M and to give a sufficient condition for the complete hyperbolicity of a domain in (M,J). Finally we obtain the regularity up to the bounday of J-holomorphic discs attached to a totally real submanifold in M.