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Invariant metrics on homogeneous spaces with equivalent isotropy summands
https://doi.org/10.15099/00016931
https://doi.org/10.15099/00016931e819d69a-8e63-40bb-8b9b-2f230c445a82
名前 / ファイル | ライセンス | アクション |
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TMJ_38_01-03_Page035to060.pdf (336.2 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2017-05-09 | |||||
タイトル | ||||||
タイトル | Invariant metrics on homogeneous spaces with equivalent isotropy summands | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 53C30 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 53C25 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 22E46 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 20C30 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Homogeneous space | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Einstein metric | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | isotropy representation | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | compact Lie group | |||||
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 | |||||
ID登録 | ||||||
ID登録 | 10.15099/00016931 | |||||
ID登録タイプ | JaLC | |||||
著者 |
Statha, Marina
× Statha, Marina |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The space of G-invariant metrics on a homogeneous space G/H is in one-to-one correspondence with the set of inner products on the tangent space m ≅ T₀(G/H), which are invariant under the isotropy representation. When all the isotropy summands are inequivalent to each other, then the metric is called diagonal. We will describe a special class of G-invariant metrics in the case where the isotropy representation of G/H contains some equivalent isotropy summands. Even though this problem has been considered sporadically in the bibliography, in the present article we provide a more systematic and organized description of such metrics. This will enable us to simplify the problem of nding G-invariant Einstein metrics for homogeneous spaces. We also provide some applications. | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | Toyama mathematical journal, vol.38, 2016, Page 35-60 | |||||
書誌情報 |
Toyama mathematical journal 巻 38, p. 35-60, 発行日 2016 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 18806015 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA12137369 | |||||
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 | |||||
出版者 | ||||||
出版者 | Department of Mathematics University of Toyama | |||||
資源タイプ(DSpace) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article |