学术报告
On the existence of Kobayashi and Bergman metrics for Model domains in C2 - Nikolay Shcherbina(Universitat Wuppertal,GERMANY)
作者：
时间： 2019-03-14
阅读：
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： 首都师范大学教二楼711教室
联系人：张利友
欢迎全体师生积极参加！
