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On Fundamental Formulas of Foliations.
https://doi.org/10.15113/00011471
https://doi.org/10.15113/000114710ca18773-8303-4033-a614-671bbd07b451
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
erar-v59n1p67-81.pdf (1.2 MB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||
|---|---|---|---|---|---|---|---|---|
| 公開日 | 2008-03-10 | |||||||
| タイトル | ||||||||
| タイトル | On Fundamental Formulas of Foliations. | |||||||
| その他の言語のタイトル | ||||||||
| その他のタイトル | 葉層構造の基本関係式について(英文) | |||||||
| 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 | ||||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Foliations | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | O'Neill | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | curvature conditions | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | formulas turns | |||||||
| Abstract | ||||||||
| 内容記述タイプ | Other | |||||||
| 内容記述 | In recent years, there have been several studies of foliations from differential geometric aspects. Especially, many differential geometric properties of metric foliations have been studied. In those studies, O'Neill's fundamental equations played a central role. These equations are derived in the study of differential geometric properties of Riemannian submersions, which is defined by O'Neill and is a special class of metric foliations, which we do not treat in this paper. For general foliations, many results are also obtained. However, the approach is done from various view points depending on the mathematicians and, at present, there seems to be no systematic approach. In this paper, we present some fundamental formulas for the differential geometric study of arbitrary foliations. These formulas turns out to be useful especially when curvature conditions are given. We give new proofs of many known results from this view points, and also give some new results. | |||||||
| 出版者 | ||||||||
| 出版者 | 岩手大学教育学部 | |||||||
| 登録日 | ||||||||
| 日付 | 2008-03-10 | |||||||
| 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 | 10.15113/00011471 | |||||||
| 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 = Annual report of the Faculty of Education, University of Iwate 巻 59, 号 1, p. 67-81, 発行日 1999-07-30 |
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| ISSN | ||||||||
| 収録物識別子タイプ | ISSN | |||||||
| 収録物識別子 | 0367-7370 | |||||||
