ASYMPTOTIC BEHAVIOR OF THE COMPLETE KAHLER-EINSTEIN METRIC IN TUBE DOMAINS

Comportement asymptotique de la métrique de Kähler-Einstein dans les domaines tube

Sébastien Gontard (1)

1 IF - Institut Fourier

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.

Domaines: Variables complexes [math.CV]; Géométrie différentielle [math.DG]

Sébastien Gontard. ASYMPTOTIC BEHAVIOR OF THE COMPLETE KAHLER-EINSTEIN METRIC IN TUBE DOMAINS. 2018. ⟨hal-01832215v1⟩