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Rigidity of the Weyl chamber flow, and vanishing theorems of Matsushima and Weil
http://hdl.handle.net/2237/14318
http://hdl.handle.net/2237/143180f0a136c-e5ec-4abb-908d-5461b275c8d0
| 名前 / ファイル | ライセンス | アクション |
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Rigidity_of_the_Weyl.pdf (207.5 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||
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| 公開日 | 2010-11-22 | |||||
| タイトル | ||||||
| タイトル | Rigidity of the Weyl chamber flow, and vanishing theorems of Matsushima and Weil | |||||
| 言語 | en | |||||
| 著者 |
KANAI, MASAHIKO
× KANAI, MASAHIKO× 金井, 雅彦 |
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| 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 | |||||
| 権利 | ||||||
| 言語 | en | |||||
| 権利情報 | Cambridge University Press | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | The aim of the present paper is to reveal an unforeseen link between the classical vanishing theorems of Matsushima and Weil, on the one hand, and rigidity of the Weyl chamber flow, a dynamical system arising from a higher-rank non-compact Lie group, on the other. The connection is established via ‘transverse extension theorems’: roughly speaking, they claim that a tangential 1-form of the orbit foliation of theWeyl chamber flow that is tangentially closed (and satisfies a certain mild additional condition) can be extended to a closed 1-form on the whole space in a canonical manner. In particular, infinitesimal rigidity of the orbit foliation of the Weyl chamber flow is proved as an application. | |||||
| 言語 | en | |||||
| 出版者 | ||||||
| 出版者 | Cambridge University Press | |||||
| 言語 | en | |||||
| 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 | |||||
| 出版タイプ | ||||||
| 出版タイプ | VoR | |||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
| DOI | ||||||
| 関連タイプ | isVersionOf | |||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | https://doi.org/10.1017/S0143385708000229 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 0143-3857 | |||||
| 書誌情報 |
ERGODIC THEORY AND DYNAMICAL SYSTEMS 巻 29, p. 1273-1288, 発行日 2009-08 |
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| 著者版フラグ | ||||||
| 値 | publisher | |||||
| URI | ||||||
| 識別子 | http://hdl.handle.net/2237/14318 | |||||
| 識別子タイプ | HDL | |||||
| URI | ||||||
| 識別子 | http://dx.doi.org/10.1017/S0143385708000229 | |||||
| 識別子タイプ | DOI | |||||
