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In this article, we survey the resent results on the holomorphicity of totally geodesic discs in bounded symmetric domains and holomorphicity of totally geodesic isometric maps between bounded symmetric domains with respect to the Bergman metric and the Kobayashi metric.

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On Holomorphicity of Totally Geodesic Isometry Between Bounded Symmetric Domains

  • 会议论文

  • 发表日期：

    2025年

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  • Sung-Yeon Kim,
  • Aeryeong Seo

摘要

In this article, we survey the resent results on the holomorphicity of totally geodesic discs in bounded symmetric domains and holomorphicity of totally geodesic isometric maps between bounded symmetric domains with respect to the Bergman metric and the Kobayashi metric.