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Evolutes and focal surfaces of framed immersions in the Euclidean space
http://hdl.handle.net/10258/00009990
http://hdl.handle.net/10258/00009990e86d0157-d13f-431a-afef-eb802b4df121
名前 / ファイル | ライセンス | アクション |
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PRSEM_2018_84 (1.0 MB)
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Item type | 学術雑誌論文 / Journal Article.(1) | |||||||||||
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公開日 | 2019-08-27 | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | Evolutes and focal surfaces of framed immersions in the Euclidean space | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | evolute | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | focal surface | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | framed immersion | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | singular point | |||||||||||
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 |
本多, 俊一
× 本多, 俊一× 高橋, 雅朋
WEKO
21184
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室蘭工業大学研究者データベースへのリンク | ||||||||||||
高橋 雅朋(TAKAHASHI Masatomo) | ||||||||||||
http://rdsoran.muroran-it.ac.jp/html/100000191_ja.html | ||||||||||||
抄録 | ||||||||||||
内容記述タイプ | Abstract | |||||||||||
内容記述 | We consider a smooth curve with singular points in the Euclidean space. As a smooth curve with singular points, we have introduced a framed curve or a framed immersion. A framed immersion is a smooth curve with a moving frame and the pair is an immersion. We define an evolute and a focal surface of a framed immersion in the Euclidean space. The evolutes and focal surfaces of framed immersions are generalizations of each object of regular space curves. We give relationships between singularities of the evolutes and of the focal surfaces. Moreover, we consider properties of the evolutes, focal surfaces and repeated evolutes. | |||||||||||
言語 | en | |||||||||||
書誌情報 |
en : Proceedings of the Royal Society of Edinburgh. Sect. A, Mathematics 発行日 2019-01-26 |
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注記 | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | First View (as of 2019-08-27) | |||||||||||
言語 | en | |||||||||||
出版者 | ||||||||||||
言語 | en | |||||||||||
出版者 | Cambridge University Press | |||||||||||
出版者版へのリンク | ||||||||||||
10.1017/prm.2018.84 | ||||||||||||
https://doi.org/10.1017/prm.2018.84 | ||||||||||||
DOI | ||||||||||||
関連タイプ | isVersionOf | |||||||||||
識別子タイプ | DOI | |||||||||||
関連識別子 | 10.1017/prm.2018.84 | |||||||||||
日本十進分類法 | ||||||||||||
主題Scheme | NDC | |||||||||||
主題 | 414 | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | PISSN | |||||||||||
収録物識別子 | 0308-2105 | |||||||||||
書誌レコードID | ||||||||||||
収録物識別子タイプ | NCID | |||||||||||
収録物識別子 | AA00363848 | |||||||||||
権利 | ||||||||||||
言語 | en | |||||||||||
権利情報 | This article has been published in a revised form in Proceedings of the Royal Society of Edinburgh. Sect. A, Mathematics. https://doi.org/10.1017/prm.2018.84. This version is published under a Creative Commons CC-BY-NC-ND. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed. © Royal Society of Edinburgh 2019 | |||||||||||
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 | |||||||||||
フォーマット | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | application/pdf |