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Legendre curves in the unit spherical bundle over the unit sphere and evolutes
http://hdl.handle.net/10258/00009568
http://hdl.handle.net/10258/00009568c120cde0-01cd-4b22-aac3-6832a66f6d6c
名前 / ファイル | ライセンス | アクション |
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CONM_675_337_355 (150.8 kB)
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Item type | 学術雑誌論文 / Journal Article.(1) | |||||||||||
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公開日 | 2018-03-01 | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | Legendre curves in the unit spherical bundle over the unit sphere and evolutes | |||||||||||
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 | |||||||||||
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 |
高橋, 雅朋
× 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 | In order to consider singular curves in the unit sphere, we consider Legendre curves in the unit spherical bundle over the unit sphere. By using a moving frame, we de<br />ne the curvature of Legendre curves in the unit spherical bundle. As applications, we give a relationship among Legendre curves in the unit spherical bundle, Legendre curves in the unit tangent bundle and framed curves in the Euclidean space, respectively. Moreover, we de<br />ne not only an evolute of a front, but also an evolute of a frontal in the unit sphere under certain conditions. Since the evolute of a front is also a front, we can take evolute again. On the other hand, the evolute of a frontal if exists, is also a frontal. We give an existence and uniqueness conditions of the evolute of a frontal. | |||||||||||
言語 | en | |||||||||||
書誌情報 |
en : Contemporary Mathematics 巻 675, p. 337-355, 発行日 2016 |
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出版者 | ||||||||||||
言語 | en | |||||||||||
出版者 | AMS | |||||||||||
出版者版へのリンク | ||||||||||||
10.1090/conm/675/13600 | ||||||||||||
https://doi.org/10.1090/conm/675/13600 | ||||||||||||
DOI | ||||||||||||
関連タイプ | isVersionOf | |||||||||||
識別子タイプ | DOI | |||||||||||
関連識別子 | 10.1090/conm/675/13600 | |||||||||||
日本十進分類法 | ||||||||||||
主題Scheme | NDC | |||||||||||
主題 | 410 | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | PISSN | |||||||||||
収録物識別子 | 0271-4132 | |||||||||||
ISBN | ||||||||||||
識別子タイプ | ISBN | |||||||||||
関連識別子 | 9781470422059 | |||||||||||
権利 | ||||||||||||
言語 | en | |||||||||||
権利情報 | © 2016 AMS (CC BY-NC-ND Creative Commons License) | |||||||||||
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 |