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  1. D200 大学院多元数理科学研究科
  2. D200a 雑誌掲載論文
  3. 学術雑誌

Rigidity of the Weyl chamber flow, and vanishing theorems of Matsushima and Weil

http://hdl.handle.net/2237/14318
http://hdl.handle.net/2237/14318
0f0a136c-e5ec-4abb-908d-5461b275c8d0
名前 / ファイル ライセンス アクション
Rigidity_of_the_Weyl.pdf Rigidity_of_the_Weyl.pdf (207.5 kB)
Item type 学術雑誌論文 / Journal Article(1)
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

WEKO 39230

en KANAI, MASAHIKO

Search repository
金井, 雅彦

× 金井, 雅彦

WEKO 39231

ja 金井, 雅彦

Search repository
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 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
内容記述タイプ Abstract
出版者
言語 en
出版者 Cambridge University Press
言語
言語 eng
資源タイプ
資源タイプresource http://purl.org/coar/resource_type/c_6501
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
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
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