ON THE LANDSLIDE SET OF EXTREMAL QUASICONFORMAL MAPPINGS

• YAO Guowu

  Department of Mathematical Sciences Tsinghua University

抄録

In this paper, it is shown that if an extremal quasiconformal mapping f is of landslide type, then there exists another extremal quasiconformal mapping f^~ in the Teichmüller equivalence class [f] such that the Beltrami differential of f^~ is identical to a given Beltrami differential on the neighborhood of a landslide point. The key tool of the proof is the Reich-Strebel inequality.

収録刊行物

• 九州数学雑誌

  九州数学雑誌 69 (2), 285-291, 2015

  九州大学大学院数理学研究院

キーワード

• Teichmüller space
• quasiconformal mapping
• Reich-Strebel inequality
• landslide set

詳細情報

• CRID: 1390282680205656832
• NII論文ID: 130005103467
• DOI: 10.2206/kyushujm.69.285
• ISSN: 18832032
• ISSN: 13406116
• Web Site: https://www.jstage.jst.go.jp/article/kyushujm/69/2/69_285/_pdf
• 本文言語コード: en
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