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We report on work by E. Barletta and S. Dragomir \(^1\) where one determines all proper holomorphic maps of balls \({\mathbb B}_2 \rightarrow {\mathbb B}_3\) admitting a \(C^3\) extension up to the boundary of \({\mathbb B}_2\) and whose boundary values \(S^3 \rightarrow S^5\) are subelliptic harmonic maps (in the sense of J. Jost & C-J. Xu, [JoXu]).

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Proper Holomorphic Maps in Harmonic Map Theory

  • 章节

  • 发表日期：

    2025年

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  • Elisabetta Barletta,
  • Sorin Dragomir,
  • Mohammad Hasan Shahid,
  • Falleh R. Al-Solamy

摘要

We report on work by E. Barletta and S. Dragomir \(^1\) where one determines all proper holomorphic maps of balls \({\mathbb B}_2 \rightarrow {\mathbb B}_3\) admitting a \(C^3\) extension up to the boundary of \({\mathbb B}_2\) and whose boundary values \(S^3 \rightarrow S^5\) are subelliptic harmonic maps (in the sense of J. Jost & C-J. Xu, [JoXu]).