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Evolutes of curves in the Lorentz-Minkowski plane
http://hdl.handle.net/10258/00009702
http://hdl.handle.net/10258/00009702155400b5-e6cd-4d1d-96bc-ffee1c4b3118
名前 / ファイル | ライセンス | アクション |
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ASPM_78_313_330 (199.1 kB)
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Item type | 学術雑誌論文 / Journal Article.(1) | |||||||||||
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公開日 | 2018-12-20 | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | Evolutes of curves in the Lorentz-Minkowski plane | |||||||||||
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 | inflection point | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | lightcone frame | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Lagrangian singularity | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Legendrian 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 |
泉屋, 周一
× 泉屋, 周一× Fuster, M. C. Romero× 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 can use a moving frame, as in the case of regular plane curves in the Euclidean plane, in order to define the arc-length parameter and the Frenet formula for non-lightlike regular curves in the Lorentz-Minkowski plane. This leads naturally to a well defined evolute associated to non-lightlike regular curves without inflection points in the Lorentz-Minkowski plane. However, at a lightlike point the curve shifts between a spacelike and a timelike region and the evolute cannot be defined by using this moving frame. In this paper, we introduce an alternative frame, the lightcone frame, that will allow us to associate an evolute to regular curves without inflection points in the Lorentz-Minkowski plane. Moreover, under appropriate conditions, we shall also be able to obtain globally defined evolutes of regular curves with inflection points. We investigate here the geometric properties of the evolute at lightlike points and inflection points. | |||||||||||
言語 | en | |||||||||||
書誌情報 |
en : Advanced Studies in Pure Mathematics 巻 78, p. 313-330, 発行日 2018-10-04 |
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出版者 | ||||||||||||
言語 | en | |||||||||||
出版者 | Mathematical Society of Japan | |||||||||||
出版者版へのリンク | ||||||||||||
10.2969/aspm/07810313 | ||||||||||||
https://doi.org/10.2969/aspm/07810313 | ||||||||||||
DOI | ||||||||||||
関連タイプ | isVersionOf | |||||||||||
識別子タイプ | DOI | |||||||||||
関連識別子 | 10.2969/aspm/07810313 | |||||||||||
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 | 0920-1971 | |||||||||||
ISBN | ||||||||||||
識別子タイプ | ISBN | |||||||||||
関連識別子 | 9784864970563 | |||||||||||
権利 | ||||||||||||
言語 | en | |||||||||||
権利情報 | Copyright © 2018 Mathematical Society of Japan | |||||||||||
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 |