Conformal Embeddings of an Open Riemann Surface into Another ― A Counterpart of Univalent Function Theory ―

• SHIBA Masakazu

  Hiroshima University

書誌事項

タイトル別名

• Conformal Embeddings of an Open Riemann Surface into Another — A Counterpart of Univalent Function Theory —

抄録

We study conformal embeddings of a noncompact Riemann surface of finite genus into compact Riemann surfaces of the same genus and show some of the close relationships between the classical theory of univalent functions and our results. Some new problems are also discussed. This article partially intends to introduce our results and to invite the function-theorists on plane domains to the topics on Riemann surfaces.

収録刊行物

• Interdisciplinary Information Sciences

  Interdisciplinary Information Sciences 25 (1), 23-31, 2019

  東北大学大学院情報科学研究科ジャーナル編集委員会

キーワード

• univalent functions
• Riemann surfaces
• continuations of a Riemann surface
• span

詳細情報

• CRID: 1390282752339744256
• NII論文ID: 130007720018
• DOI: 10.4036/iis.2019.a.02
• ISSN: 13476157
• ISSN: 13409050
• HANDLE: 10097/00128128
• Web Site: https://tohoku.repo.nii.ac.jp/records/130735
• Web Site: https://www.jstage.jst.go.jp/article/iis/25/1/25_2019.A.02/_pdf
• 本文言語コード: en
• データソース種別:
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  • IRDB
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  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可