ASYMPTOTIC BEHAVIOR OF THE COMPLETE KAHLER-EINSTEIN METRIC IN SOME CONVEX DOMAINS
Comportement asymptotique de la métrique de Kähler-Einstein dans certains domaines convexes
Résumé
We study the complete Kähler-Einstein metric in tube domains {z ∈ C^2 / Re(4pz_1)+Re(z_2) ^2p < 1} where p ∈ N *. We obtain estimates of this metric and its holomorphic bisectional curvatures near the weakly pseudoconvex boundary points and use these estimates to obtain non tangential estimates for theholomorphic bisectional curvatures of the Kähler-Einstein metric in some convex domains.
Origine : Fichiers produits par l'(les) auteur(s)
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