A characterization of the homogeneous minimal ruled real hypersurface in a complex hyperbolic space

• Maeda Sadahiro

  Department of Mathematics, Saga University

• Adachi Toshiaki

  Department of Mathematics, Nagoya Institute of Technology

• Kim Young Ho

  Department of Mathematics, Kyungpook National University

抄録

It is well-known that there exist no homogeneous ruled real hypersurfaces in a complex projective space. On the contrary there exists the unique homogeneous ruled real hypersurface in a complex hyperbolic space. Moreover, it is minimal. We characterize geometrically this minimal homogeneous real hypersurface by properties of extrinsic shapes of some curves.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 61 (1), 315-325, 2009

  一般社団法人 日本数学会

キーワード

• complex hyperbolic spaces
• real hypersurfaces
• totally geodesic complex hypersurfaces
• homogeneous ruled real hypersurfaces
• geodesics
• horocycle-circles
• integral curves of the chracteristic vector field
• real hyperbolic planes

詳細情報

• CRID: 1390001205114679296
• NII論文ID: 10024905651
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06110315
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 9773325
• Web Site: http://id.ndl.go.jp/bib/9773325
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I9773325
• 本文言語コード: en
• データソース種別:
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