题目： On the existence of Kobayashi and Bergman metrics for Model domains in C2

报告人：Nikolay Shcherbina（Universit?t Wuppertal, GERMANY）

Abstract :

We prove that for a pseudoconvex domain of the form        

? = {(z, w) ∈ C2 : v > F (z, u)}, where w = u + iv and F is a

continuous function on Cz×Ru, the following conditions are equivalent:

(i)The domain ? is not Kobayashi hyperbolic.

(ii)The domain ? does not possess a Bergman metric.

(iii)The domain ? does not possess a bounded smooth strictly plurisub- harmonic function, i.e. the core c(?) of ? is nonempty.

(iv)There is an entire function h : Cz→  Cw such that the graph Γ(F ) of F is foliated by translations of the graph Γ(h) of h.

时间：   3月14日（周四）下午16:00-17:00地点：  565net必赢客户端教二楼711教室

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