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Involutes of fronts in the Euclidean plane
http://hdl.handle.net/10258/00009010
http://hdl.handle.net/10258/00009010469a995c-55eb-4b0c-9eff-2b585b97e34b
名前 / ファイル | ライセンス | アクション |
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AaG_57-3_637-653 (200.2 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 | Involutes of fronts in the Euclidean plane | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Involute | |||||||||||
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 | Front | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Legendre immersion | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Inflection 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 |
福永, 知則
× 福永, 知則× 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 | For a regular plane curve, an involute of it is the trajectory described by the end of a stretched string unwinding from a point of the curve. Even for a regular curve, the involute always has a singularity. By using a moving frame along the front and the curvature of the Legendre immersion in the unit tangent bundle, we define an involute of the front in the Euclidean plane and give properties of it. We also consider a relationship between evolutes and involutes of fronts without inflection points. As a result, the evolutes and the involutes of fronts without inflection points are corresponding to the differential and the integral of the curvature of the Legendre immersion. | |||||||||||
言語 | en | |||||||||||
書誌情報 |
en : Beiträge zur Algebra und Geometrie = Contributions to Algebra and Geometry 巻 57, 号 3, p. 637-653, 発行日 2016-09 |
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注記 | ||||||||||||
内容記述タイプ | Other | |||||||||||
内容記述 | Mathematics Subject Classification : 58K05; 53A04; 57R45 | |||||||||||
言語 | en | |||||||||||
出版者 | ||||||||||||
言語 | en | |||||||||||
出版者 | Springer | |||||||||||
出版者版へのリンク | ||||||||||||
10.1007/s13366-015-0275-1 | ||||||||||||
https://doi.org/10.1007/s13366-015-0275-1 | ||||||||||||
DOI | ||||||||||||
関連タイプ | isVersionOf | |||||||||||
識別子タイプ | DOI | |||||||||||
関連識別子 | 10.1007/s13366-015-0275-1 | |||||||||||
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 | 0138-4821 | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | EISSN | |||||||||||
収録物識別子 | 2191-0383 | |||||||||||
書誌レコードID | ||||||||||||
収録物識別子タイプ | NCID | |||||||||||
収録物識別子 | AA00558880 | |||||||||||
権利 | ||||||||||||
言語 | en | |||||||||||
権利情報 | The final publication is available at Springer via http://dx.doi.org/10.1007/s13366-015-0275-1 | |||||||||||
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 |