Conformal deformations of submanifolds in codimension two

• DAJCZER Marcos

  IMPA-Estrada Dona Castorina

• TOJEIRO Ruy

  Universidade Federal de Uberlândia

抄録

Let Mⁿ⊂ Rⁿ⁺², \ n≥q 7, be a conformally deformable submanifold of euclidean space in codimension two. In this paper we show that if the submanifold has sufficiently low conformal nullity, a generic conformal condition, then it can be realized as a hypersurface of a conformally deformable hypersurface. The latter have been classified by Cartan early this century. Furthermore, it turns out that all deformations of the former are induced by deformations of the latter.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 52 (1), 41-50, 2000

  一般社団法人 日本数学会

キーワード

• Conformal immersion
• conformal deformation
• Cartan hypersurface

詳細情報

• CRID: 1390282680092697984
• NII論文ID: 10004479995
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/05210041
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1727201
• NDL書誌ID: 4974619
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4974619
• 本文言語コード: en
• データソース種別:
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