Estimates of the Kobayashi metric on almost ...
Type de document :
Pré-publication ou Document de travail
Titre :
Estimates of the Kobayashi metric on almost complex manifolds
Auteur(s) :
Gaussier, Hervé [Auteur]
Laboratoire d'Analyse, Topologie, Probabilités [LATP]
Sukhov, Alexandre [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Laboratoire d'Analyse, Topologie, Probabilités [LATP]
Sukhov, Alexandre [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Discipline(s) HAL :
Mathématiques [math]/Variables complexes [math.CV]
Mathématiques [math]/Géométrie différentielle [math.DG]
Mathématiques [math]/Géométrie différentielle [math.DG]
Résumé en anglais : [en]
We establish a lower estimate for the Kobayashi-Royden infinitesimalpseudometric on an almost complex manifold $(M,J)$ admitting a boundedstrictly plurisubharmonic function. We apply this result to study theboundary behaviour ...
Lire la suite >We establish a lower estimate for the Kobayashi-Royden infinitesimalpseudometric on an almost complex manifold $(M,J)$ admitting a boundedstrictly plurisubharmonic function. We apply this result to study theboundary behaviour of the metric on a strictly pseudoconvex domain in$M$ and to give a sufficient condition for the complete hyperbolicityof a domain in $(M,J)$. Finally we obtain the regularity up to thebounday of $J$-holomorphic discs attached to a totally realsubmanifold in $M$.Lire moins >
Lire la suite >We establish a lower estimate for the Kobayashi-Royden infinitesimalpseudometric on an almost complex manifold $(M,J)$ admitting a boundedstrictly plurisubharmonic function. We apply this result to study theboundary behaviour of the metric on a strictly pseudoconvex domain in$M$ and to give a sufficient condition for the complete hyperbolicityof a domain in $(M,J)$. Finally we obtain the regularity up to thebounday of $J$-holomorphic discs attached to a totally realsubmanifold in $M$.Lire moins >
Langue :
Anglais
Commentaire :
date de redaction: 2003-4-3
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