Homogeneous surfaces in the three-dimensional projective geometry

• DILLEN Franki

  Katholieke Universiteit Leuven Departement Wiskunde

• DOUBROV Boris

  International Sophus Lie Centre

• KOMRAKOV Boris

  Katholieke Universiteit Leuven Departement Wiskunde International Sophus Lie Centre

• RABINOVICH Maxim

  International Sophus Lie Centre

抄録

Using an algebraic analog of Cartan's method of moving frames and the complete classification of two-dimensional subalgebras in \mathfrak{s}\mathfrak{l}(4, \bm{R}), we describe all locally homogeneous surfaces in \bm{R}P³.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 52 (1), 199-230, 2000

  一般社団法人 日本数学会

キーワード

• Projective geometry
• linear Lie algebra
• homogeneous surface

詳細情報

• CRID: 1390282680092695680
• NII論文ID: 10004480125
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/05210199
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1727433
• NDL書誌ID: 4974684
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4974684
• 本文言語コード: en
• データソース種別:
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