国家天元数学中部中心学术报告 | Nikolai Scherbina 教授 (德国乌珀塔尔大学)

发布时间: 2024-03-11 09:32

报告题目:On Kobayashi and Bergman hyperbolicity of Model domains

报告时间:2024-03-18 15:00-16:00

报 告 人:Nikolai Scherbina  教授  (德国乌珀塔尔大学)

报告地点:理学院东北楼四楼报告厅(404)

AbstractWe give a complete geometric characterization of Model domains, i.e. pseudoconvex domains of the form {(z, w) ∈C2 : v > F(z, u)}, where w = u + iv and F is just continuous, which are Kobayashi and Bergman hyperbolic. In higher dimension we prove that strictly pseudoconvex rigid Model domains in Cn, n ≥ 2, are always Kobayashi and Bergman hyperbolic.