On the global rigidity of split Anosov Rn-actions

• MATSUMOTO Shigenori

  Department of Mathematics College of Science and Technology Nihon University

書誌事項

タイトル別名

• On the global rigidity of split Anosov \bm{R}<SUP>n</SUP>-actions

抄録

We show that a so called split Anosov \bm{R}ⁿ-action on a closed oriented (2n+1)-dimensional manifold is C^∞ conjugate to the suspension of a split hyperbolic affine representation of \bm{Z}ⁿ on the (n+1)-dimensional torus.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 55 (1), 39-46, 2003

  一般社団法人 日本数学会

キーワード

• split Anosov <i><b>R</b>ⁿ</i>-action
• orbit foliation of a locally free Lie group action
• codimension one Anosov diffeomorphism
• hyperbolic toral automorphism
• (un)stable foliation

詳細情報

• CRID: 1390282680091613440
• NII論文ID: 10011477915
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/1196890840
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1939183
• NDL書誌ID: 6422600
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6422600
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可