数学学科2019系列学术报告之十六

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）
时  间：9月20日（周五）下午14:00-15:00
地  点：1-301
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  .