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Framed curves in the Euclidean space
http://hdl.handle.net/10258/00009011
http://hdl.handle.net/10258/00009011f06d3036-a0ee-4ce8-89df-e51db76ce7cd
名前 / ファイル | ライセンス | アクション |
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advgeom-2015-0035.aop (497.4 kB)
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Item type | 学術雑誌論文 / Journal Article.(1) | |||||||||||
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公開日 | 2016-10-04 | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | Framed curves in the Euclidean space | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
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 | existence | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | uniqueness | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | curvature of a framed curve | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | congruent as framed curves | |||||||||||
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 | A framed curve in the Euclidean space is a curve with a moving frame. It is a generalization not only of regular curves with linear independent condition, but also of Legendre curves in the unit tangent bundle. We define smooth functions for a framed curve, called the curvature of the framed curve, similarly to the curvature of a regular curve and of a Legendre curve. Framed curves may have singularities. The curvature of the framed curve is quite useful to analyse the framed curves and their singularities. In fact, we give the existence and the uniqueness for the framed curves by using their curvature. As applications, we consider a contact between framed curves, and give a relationship between projections of framed space curves and Legendre curves. | |||||||||||
言語 | en | |||||||||||
書誌情報 |
en : Advances in Geometry 巻 16, 号 3, p. 265-276, 発行日 2016-06 |
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注記 | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | MSC 2010: 58K05; 53A04; 53D35 | |||||||||||
言語 | en | |||||||||||
出版者 | ||||||||||||
言語 | en | |||||||||||
出版者 | Walter De Gruyter Gmbh | |||||||||||
出版者版へのリンク | ||||||||||||
10.1515/advgeom-2015-0035 | ||||||||||||
https://doi.org/10.1515/advgeom-2015-0035 | ||||||||||||
DOI | ||||||||||||
関連タイプ | isIdenticalTo | |||||||||||
識別子タイプ | DOI | |||||||||||
関連識別子 | 10.1515/advgeom-2015-0035 | |||||||||||
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 | 1615-715X | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | EISSN | |||||||||||
収録物識別子 | 1615-7168 | |||||||||||
書誌レコードID | ||||||||||||
収録物識別子タイプ | NCID | |||||||||||
収録物識別子 | AA11609495 | |||||||||||
権利 | ||||||||||||
言語 | en | |||||||||||
権利情報 | The final publication is available at https://www.degruyter.com/view/j/advgeom.2016.16.issue-3/advgeom-2015-0035/advgeom-2015-0035.xml | |||||||||||
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 | |||||||||||
フォーマット | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | application/pdf |