题 目： On the existence of Kobayashi and Bergman metrics for Model domains in C^2
报告人：Nikolay Shcherbina教授 （Universitat Wuppertal）
摘 要：We prove that for a pseudoconvex domain of the form where and is a continuous function on , 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 plurisubharmonic function, i.e. the core of is nonempty.
(iv) There is an entire function such that the graph of is foliated by translations of the graph of .