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Helicity in differential topology and incompressible fluids on foliated 3-manifolds
https://chuo-u.repo.nii.ac.jp/records/1083
https://chuo-u.repo.nii.ac.jp/records/1083f2435738-d207-4ea1-a1c0-ecc853092b6f
名前 / ファイル | ライセンス | アクション |
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本文を見る(PDFファイル) (592.5 kB)
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Item type | プレプリント / Preprint(1) | |||||
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公開日 | 2013-06-05 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Helicity in differential topology and incompressible fluids on foliated 3-manifolds | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | helicity | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | asymptotic linking | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | foliated cohomology | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | algebraic Anosov foliations | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_1843 | |||||
資源タイプ | other | |||||
著者 |
MITSUMATSU, Yoshihiko
× MITSUMATSU, Yoshihiko |
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著者別名 | ||||||
識別子Scheme | WEKO | |||||
識別子 | 23329 | |||||
姓名 | 三松, 佳彦 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We review the interpretation of the helicity of the velocity fields of incompressible fluids on closed 3-manifolds as the asymptotic linking pairing of vorticity fields and further develop this point of view. For codimension 1 foliated manifolds, this idea has a strong relation with the 1st foliated cohomology and the secondary invariants, such as the Godbillon-Vey invariant and the Reeb class. The main purpose of the present article is, based on these frameworks, to give a description of the space of velocity fields of incompressible fluids which are holonomically constrained to the leaves of a foliated 3-manifold. In particular for algebraic Anosov foliations we see how these ideas work effectively to understand the space of incompressible foliated flows. | |||||
書誌情報 |
数学科プレプリントシリーズ en : PREPRINT SERIES 巻 101, 発行日 2013-01-15 |
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出版者 | ||||||
出版者 | 中央大学理工学部数学科 | |||||
権利 | ||||||
権利情報 | この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | AO | |||||
出版タイプResource | http://purl.org/coar/version/c_b1a7d7d4d402bcce |