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NOTES ON BERTRAND CURVES
http://hdl.handle.net/10131/5748
http://hdl.handle.net/10131/574804dd0991-edd5-498d-a6f6-a4f1a5782d7c
名前 / ファイル | ライセンス | アクション |
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YMJ_50_N1-2_2003_041-058.pdf (1.2 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2009-12-15 | |||||
タイトル | ||||||
タイトル | NOTES ON BERTRAND CURVES | |||||
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 | departmental bulletin paper | |||||
著者 |
Matsuda, Hiroo
× Matsuda, Hiroo× Yorozu, Shinsuke |
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著者所属 | ||||||
Department of Mathematics, Kanazawa Medical University, Uchinada, Ishikawa, 920-0265, JAPAN | ||||||
著者所属 | ||||||
Department of Mathematics, Miyagi University of Education, Sendai, Miyagi, 980-0845, JAPAN | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Every circular helix in $E^{3}$ is a typical example of Bertrand curve. The circular helix is one in a family of special Frenet curves. We prove that no special Frenet curve in $E$¥ $(n>4)$ is a Bertrand curve. Thus the notion of Bertrand curve stands only on $E^{¥overline{2}}$ and $E^{3}$ . In $E^{4}$ , we can show an idea of a generalization of Bertrand curve. | |||||
書誌情報 |
Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学 巻 50, 号 1&2, p. 41-58, 発行日 2003 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00440523 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0089285X | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | Yokohama City University and Yokohama National University |