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Admissible Vector Fields of Codimension-One Plane Fields and Their Stability Property
https://doi.org/10.15113/00011310
https://doi.org/10.15113/0001131048a4df90-0519-40f6-a519-57494ea8a7ba
名前 / ファイル | ライセンス | アクション |
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arfe-v71p45-52.pdf (846.9 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2012-09-13 | |||||
タイトル | ||||||
タイトル | Admissible Vector Fields of Codimension-One Plane Fields and Their Stability Property | |||||
その他のタイトル | ||||||
その他のタイトル | 余次元1部分束の許容ベクトル場とその安定性について | |||||
著者 |
押切, 源一
× 押切, 源一 |
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著者別名 | ||||||
姓名 | OSHIKIRI, Gen-ichi | |||||
著者(機関) | ||||||
Faculty of Education, Iwate University | ||||||
Abstract | ||||||
内容記述タイプ | Other | |||||
内容記述 | Given a codimension-one plane field ξ on a closed manifold M, we show that if X is transverse to ξ, then there are many functions f on M such that supp( f ) = M and that fX is the mean curvature vector field of ξ with respect to some Riemannian metric of M, and we give a necessary and sufficient condition for X to become the mean curvature vector field of ξ with respect to some Riemannian metric of M. As an application, we show a stability property of mean curvature vector fields H of ξ with respect to small perturbations of codimension-one plane fields. | |||||
出版者 | ||||||
出版者 | 岩手大学教育学部 | |||||
登録日 | ||||||
日付 | 2012-09-13 | |||||
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 | departmental bulletin paper | |||||
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 | |||||
ID登録 | ||||||
ID登録 | 10.15113/00011310 | |||||
ID登録タイプ | JaLC | |||||
NCID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AN00017940 | |||||
書誌情報 |
岩手大学教育学部研究年報 巻 71, p. 45-52, 発行日 2012-03-10 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0367-7370 |