Invariant metrics on unbounded strongly pseudoconvex domains with non-compact automorphism group

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• 作者：Hyeseon Kim ; Atsushi Yamamori ; Liyou Zhang
• 关键词：Automorphism groups ; Invariant metrics and pseudo ; distances ; Strongly pseudoconvex domains
• 刊名：Annals of Global Analysis and Geometry
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：50
• 期：3
• 页码：261-295
• 全文大小：727 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  Statistics for Business, Economics, Mathematical Finance and Insurance
  Mathematical and Computational Physics
  Group Theory and Generalizations
  Geometry
  
• 出版者：Springer Netherlands
• ISSN：1572-9060
• 卷排序：50

文摘

We study invariant metrics on unbounded strongly pseudoconvex domains with non-compact automorphism group. The main result is that the corresponding Bergman and K\(\ddot{\mathrm{a}}\)hler–Einstein metrics are metrically equivalent. We also determine the comparisons among invariant metrics, including the Carathéodory and Kobayashi pseudo-metrics additionally.