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The Tilt Formula for Generalized Simplices in Hyperbolic Space
http://hdl.handle.net/2297/1726
http://hdl.handle.net/2297/17266f39e75e-fdf9-4c21-8faa-313b235de492
| 名前 / ファイル | ライセンス | アクション |
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SC-PR-USHIJIMA-A-tiltw.pdf (256.3 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||
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| 公開日 | 2017-10-03 | |||||
| タイトル | ||||||
| タイトル | The Tilt Formula for Generalized Simplices in Hyperbolic Space | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | journal article | |||||
| 著者 |
牛島, 顕
× 牛島, 顕 |
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| 書誌情報 |
Discrete & computational geometry 巻 28, p. 19-27, 発行日 2002-01-01 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 0179-5376 | |||||
| DOI | ||||||
| 関連タイプ | isVersionOf | |||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | 10.1007/s00454-001-0079-y | |||||
| 出版者 | ||||||
| 出版者 | Springer | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | 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. | |||||
| 著者版フラグ | ||||||
| 出版タイプ | AM | |||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
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| 識別子タイプ | URI | |||||
| 関連識別子 | http://www.springerlink.com | |||||
