A generalization of Andreev's Theorem

• Díaz Raquel

  Dpto. Geometría y Topología, Fac. CC. Matemáticas, Universidad Complutense

書誌事項

タイトル別名

• generalization of Andreev s Theorem

抄録

Andreev's Theorem studies the existence of compact hyperbolic polyhedra of a given combinatorial type and given dihedral angles, all of them acute. In this paper we consider the same problem but without any restriction on the dihedral angles. We solve it for the descendants of the tetrahedron, i.e. those polyhedra that can be obtained from the tetrahedron by successively truncating vertices; for instance, the first of them is the triangular prism.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 58 (2), 333-349, 2006

  一般社団法人 日本数学会

キーワード

• hyperbolic polyhedra
• dihedral angles
• Andreev's Theorem

詳細情報

• CRID: 1390001205116533632
• NII論文ID: 10018381226
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/1149166778
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 2228562
• NDL書誌ID: 7892076
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7892076
• 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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  • CiNii Articles
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