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Bertrand and Mannheim curves of framed curves in the 4-dimensional Euclidean space
http://hdl.handle.net/10258/0002000170
http://hdl.handle.net/10258/00020001707e23c1d2-48f6-4f74-bd31-79d910a83f92
名前 / ファイル | ライセンス | アクション |
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Bertrand-Mannhaeim-R4_revised.pdf (308 KB)
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Item type | 学術雑誌論文 / Journal Article.(1) | |||||||||||||
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公開日 | 2024-04-15 | |||||||||||||
タイトル | ||||||||||||||
言語 | en | |||||||||||||
タイトル | Bertrand and Mannheim curves of framed curves in the 4-dimensional Euclidean space | |||||||||||||
言語 | ||||||||||||||
言語 | eng | |||||||||||||
キーワード | ||||||||||||||
言語 | en | |||||||||||||
主題Scheme | Other | |||||||||||||
主題 | Bertrand curve | |||||||||||||
キーワード | ||||||||||||||
言語 | en | |||||||||||||
主題Scheme | Other | |||||||||||||
主題 | Mannheim curve | |||||||||||||
キーワード | ||||||||||||||
言語 | en | |||||||||||||
主題Scheme | Other | |||||||||||||
主題 | framed curve | |||||||||||||
キーワード | ||||||||||||||
言語 | en | |||||||||||||
主題Scheme | Other | |||||||||||||
主題 | singularity | |||||||||||||
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 | |||||||||||||
アクセス権 | ||||||||||||||
アクセス権 | open access | |||||||||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||||
著者 |
Honda, Shun’ichi
× Honda, Shun’ichi
× Takahashi, Masatomo
× Yu, Haiou
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抄録 | ||||||||||||||
内容記述タイプ | Abstract | |||||||||||||
内容記述 | A Bertrand curve in the 4-dimensional Euclidean space is a space curve whose rst normal line is the same as the rst normal line of another curve. On the other hand, a Mannheim curve in the 4-dimensional Euclidean space is a space curve whose rst normal line is the same as the second or third normal line of another curve. In this paper, we investigate not only Bertrand and Mannheim curves of regular space curves, but also Bertrand and Mannheim curves of singular space curves. As singular curves, we consider framed curves. We give conditions for framed curves to become Bertrand and Mannheim curves. It is well-known that the Bertrand curves of regular curves do not exist under a condition in the 4-dimensional Euclidean space. However, even if regular curves, Bertrand curves exist as framed curves. |
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言語 | en | |||||||||||||
書誌情報 |
en : Journal of Geometry 巻 114, 号 2, 発行日 2023 |
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出版者 | ||||||||||||||
言語 | en | |||||||||||||
出版者 | Springer | |||||||||||||
出版者版へのリンク | ||||||||||||||
en | ||||||||||||||
https://doi.org/10.1007/s00022-023-00673-7 | ||||||||||||||
https://doi.org/10.1007/s00022-023-00673-7 | ||||||||||||||
DOI | ||||||||||||||
関連タイプ | isVersionOf | |||||||||||||
識別子タイプ | DOI | |||||||||||||
関連識別子 | 10.1007/s00022-023-00673-7 | |||||||||||||
ISSN | ||||||||||||||
収録物識別子タイプ | PISSN | |||||||||||||
収録物識別子 | 0047-2468 | |||||||||||||
権利 | ||||||||||||||
言語 | en | |||||||||||||
権利情報 | © 2023 The Author(s), under exclusive licence to Springer | |||||||||||||
著者版フラグ | ||||||||||||||
出版タイプ | AO | |||||||||||||
出版タイプResource | http://purl.org/coar/version/c_b1a7d7d4d402bcce |