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An inclusive immersion into a quaternionic manifold and its invariants
https://doi.org/10.24517/00056038
https://doi.org/10.24517/00056038e56b7f13-9b4a-41e0-9488-b924302123c6
| 名前 / ファイル | ライセンス | アクション |
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ED-PR-HASEGAWA-K-527.pdf (144.2 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||||
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| 公開日 | 2019-11-08 | |||||||
| タイトル | ||||||||
| タイトル | An inclusive immersion into a quaternionic manifold and its invariants | |||||||
| 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 | journal article | |||||||
| ID登録 | ||||||||
| ID登録 | 10.24517/00056038 | |||||||
| ID登録タイプ | JaLC | |||||||
| 著者 |
Hasegawa, Kazuyuki
× Hasegawa, Kazuyuki |
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| 著者別表示 |
長谷川, 和志
× 長谷川, 和志
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| 提供者所属 | ||||||||
| 内容記述タイプ | Other | |||||||
| 内容記述 | 金沢大学人間社会研究域学校教育系 / Institute of Human and Social science, Teacher Education | |||||||
| 書誌情報 |
Manuscripta Mathematica 巻 154, 号 3-4, p. 527-549, 発行日 2017-11-01 |
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| ISSN | ||||||||
| 収録物識別子タイプ | ISSN | |||||||
| 収録物識別子 | 0025-2611 | |||||||
| NCID | ||||||||
| 収録物識別子タイプ | NCID | |||||||
| 収録物識別子 | AA00721187 | |||||||
| DOI | ||||||||
| 関連タイプ | isVersionOf | |||||||
| 識別子タイプ | DOI | |||||||
| 関連識別子 | 10.1007/s00229-017-0928-5 | |||||||
| 出版者 | ||||||||
| 出版者 | Springer Verlag | |||||||
| 抄録 | ||||||||
| 内容記述タイプ | Abstract | |||||||
| 内容記述 | We introduce a quaternionic invariant for an inclusive immersion into a quaternionic manifold, which is a quaternionic object corresponding to the Willmore functional. The lower bound of this invariant is given by topological invariant and the equality case can be characterized in terms of the natural twistor lift. When the ambient manifold is the quaternionic projective space and the natural twistor lift is holomorphic, we obtain a relation between the quaternionic invariant and the degree of the image of the natural twistor lift as an algebraic curve. Moreover the first variation formula for the invariant is obtained. As an application of the formula, if the natural twistor lift is a harmonic section, then the surface is a stationary point under any variations such that the induced complex structures do not vary. © 2017, Springer-Verlag Berlin Heidelberg. | |||||||
| 内容記述 | ||||||||
| 内容記述タイプ | Other | |||||||
| 内容記述 | Embargo Period 12 months | |||||||
| 権利 | ||||||||
| 権利情報 | Copyright © 2017, Springer-Verlag Berlin Heidelberg. | |||||||
| 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 | |||||||
| 関連URI | ||||||||
| 識別子タイプ | URI | |||||||
| 関連識別子 | https://link.springer.com/article/10.1007%2Fs00229-017-0928-5 | |||||||
| 関連名称 | https://link.springer.com/article/10.1007%2Fs00229-017-0928-5 | |||||||
