The geometry of symmetric triad and orbit spaces of Hermann actions

• Ikawa Osamu

  Department of General Education, Fukushima National College of Technology

抄録

We introduce the notion of symmetric triad, which is a generalization of the notion of irreducible root system, and study its fundamental properties. Applying these results, we study the orbit spaces of Hermann actions on compact symmetric spaces.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 63 (1), 79-136, 2011

  一般社団法人 日本数学会

キーワード

• Hermann action
• austere submanifold
• symmetric triad

詳細情報

• CRID: 1390282680092646912
• NII論文ID: 10027871234
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06310079
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 10947528
• Web Site: http://id.ndl.go.jp/bib/10947528
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I10947528
• 本文言語コード: en
• データソース種別:
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  • NDL
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• 抄録ライセンスフラグ: 使用不可