Construction of Shiba behavior spaces on an open Riemann surface of infinite genus : Dedicated to Emeritus Professor Yukio Kusunoki on his 88th birthday

• Matsui Kunihiko

  Emeritus Professor at Doshisha University

• Maitani Fumio

  Emeritus Professor at Kyoto Institute of Technology

書誌事項

タイトル別名

• Construction of Shiba behavior spaces on an open Riemann surface of infinite genus

抄録

The concept of behavior spaces introduced by Shiba plays an important role of systematic investigation of abelian differentials on an open Riemann surface. A Shiba behavior space consists of harmonic differentials which satisfy a certain period condition and boundary behavior. In this paper, for any open Riemann surface of infinite genus we construct Shiba behavior spaces with arbitrarily prescribed period condition and with specific boundary behavior.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 66 (2), 565-580, 2014

  一般社団法人 日本数学会

キーワード

• Riemann surface
• harmonic differential
• Shiba behavior space

詳細情報

• CRID: 1390001205115735040
• NII論文ID: 130003394370
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06620565
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 025409461
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I025409461
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
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