Third order ordinary differential equations and Legendre connections

• SATO Hajime

  Graduate school of Mathematics, Nagoya University

• Yamada YOSHIKAWA Atsuko

  Graduate school of Mathematics, Nagoya University

抄録

We use N. Tanaka's theory of normal Cartan connections associated with simple graded Lie algebras to study Cartan's equivalence problem of single third order ordinary differential equations under contact transformations. As a result we obtain the complete structure equation with two differential invariants, which is applied on general Legendre Grassmann bundles of three-dimensional contact manifolds.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 50 (4), 993-1013, 1998

  一般社団法人 日本数学会

キーワード

• General Mathematics

詳細情報

• CRID: 1390001205115202944
• NII論文ID: 10002151319
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/05040993
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1643383
• NDL書誌ID: 4668632
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4668632
• 本文言語コード: en
• データソース種別:
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  • NDL
  • Crossref
  • CiNii Articles
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