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タイトル: The Tilt Formula for Generalized Simplices in Hyperbolic Space
著者: 牛島, 顕 link image link image
Ushijima, Akira link image link image
発行日: 2002年 1月
出版社(者): Springer
引用: Discrete & computational geometry,28,pp.19-27
雑誌名: Discrete & computational geometry
ISSN: 0179-5376
巻: 28
開始ページ: 19
終了ページ: 27
抄録: Abstract. For a simplex in Lorentzian space whose vertices are in the positive light cone, Weeks defined the ``tilt'' relative to each face. It gave us an efficient tool for deciding whether or not the dihedral angle between two simplices holding a face in common is convex. He also provided an efficient formula, called the ``tilt formula,'' to obtain tilts from the intrinsic hyperbolic structure of the simplex when its dimension is two or three. Sakuma and Weeks generalized it to general dimensions. In this paper we generalize the concept of the tilt and the tilt formula to the case where not all vertices are in the positive light cone. A key to our generalization is to give a correspondence between points and hyperplanes (or half-spaces) in Lorentzian space.
DOI: 10.1007/s00454-001-0079-y
URI: http://hdl.handle.net/2297/1726
関連URI: http://www.springerlink.com
資料種別: Journal Article
版表示: author

このアイテムを引用あるいはリンクする場合は次の識別子を使用してください。 http://hdl.handle.net/2297/1726



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