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Principe de bloch et estimations de la métrique de Kobayashi des domaines deC 2

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Abstract

Nous ramenons l'existence d'estimations optimales pour la métrique de Kobayashi dans les domaines pseudoconvexes de type fini deC 2 à un principe de Bloch asymptotique. Nous établissons ce principe en combinant la méthode de renormalisation utilisée par Gromov dans le contexte des applications harmoniques aux techniques de dilatation des coordonnées. Cecifournit une preuve totalement élémentaire d'un résultat de Catlin particulièrement utile dans l'étude des questions de prolongement et de rigidité d'applications holomorphes.

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  1. Toulouse III, Lab. Emile Picard, Université P. Sabatier, Bat. 1R2 118, route de Narbonne, 31062, Toulouse Cedex, France

    F. Berteloot

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Berteloot, F. Principe de bloch et estimations de la métrique de Kobayashi des domaines deC 2 . J Geom Anal 13, 29–37 (2003). https://doi.org/10.1007/BF02930994

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  • DOI: https://doi.org/10.1007/BF02930994

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