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Envelopes of legendre curves in the unit spherical bundle over the unit sphere
http://hdl.handle.net/10258/00009670
http://hdl.handle.net/10258/0000967032f01cde-8e08-4768-b07e-92ae4d43769b
名前 / ファイル | ライセンス | アクション |
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QJM_69_2_631_653 (1.2 MB)
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Item type | 学術雑誌論文 / Journal Article.(1) | |||||||||||
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公開日 | 2018-07-20 | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | Envelopes of legendre curves in the unit spherical bundle over the unit sphere | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Envelope | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Spherical Legendre curve | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | Legendre curve | |||||||||||
キーワード | ||||||||||||
言語 | en | |||||||||||
主題Scheme | Other | |||||||||||
主題 | 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 |
LI, Yanlin
× LI, Yanlin× PEI, Donghe× 高橋, 雅朋
WEKO
21184
× YU, Haiou |
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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 this paper, we introduce a one-parameter family of Legendre curves in the unit spherical bundle over the unit sphere and the curvature. We give the existence and uniqueness theorems for one-parameter families of spherical Legendre curves by using the curvatures. Then we define an envelope for the one-parameter family of Legendre curves in the unit spherical bundle. We also consider the parallel curves and evolutes of one-parameter families of Legendre curves in the unit spherical bundle and their envelopes. Moreover, we give relationships among one-parameter families of Legendre curves in the unit spherical bundle over the unit sphere and one-parameter families of Legendre curves in the unit tangent bundle over the Euclidean plane. | |||||||||||
言語 | en | |||||||||||
書誌情報 |
en : The Quarterly Journal of Mathematics 巻 69, 号 2, p. 631-653, 発行日 2018-12-14 |
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出版者 | ||||||||||||
言語 | en | |||||||||||
出版者 | Oxford University Press | |||||||||||
出版者版へのリンク | ||||||||||||
10.1093/qmath/hax056 | ||||||||||||
https://doi.org/10.1093/qmath/hax056 | ||||||||||||
DOI | ||||||||||||
関連タイプ | isVersionOf | |||||||||||
識別子タイプ | DOI | |||||||||||
関連識別子 | 10.1093/qmath/hax056 | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | PISSN | |||||||||||
収録物識別子 | 0033-5606 | |||||||||||
権利 | ||||||||||||
言語 | en | |||||||||||
権利情報 | © The Author 2017. Published by Oxford University Press. All rights reserved. This is a pre-copyedited, author-produced version of an article accepted for publication in The Quarterly Journal of Mathematics following peer review. The version of record Yanlin Li, Donghe Pei, Masatomo Takahashi, Haiou Yu; Envelopes of legendre curves in the unit spherical bundle over the unit sphere, The Quarterly Journal of Mathematics, Volume 69, Issue 2, 1 June 2018, Pages 631–653 is available online at: http://dx.doi.org/10.1093/qmath/hax056 | |||||||||||
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 |