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On hyperkähler manifolds of type A∞
https://doi.org/10.15083/00004027
https://doi.org/10.15083/0000402747841188-3920-4ec1-bcc2-036b91fe1bdd
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HatsutoriK_22_3_PhD_a.pdf (3.9 MB)
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HatsutoriK_22_3_PhD_b.pdf (117.1 kB)
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Item type | 学位論文 / Thesis or Dissertation(1) | |||||
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公開日 | 2012-10-23 | |||||
タイトル | ||||||
タイトル | On hyperkähler manifolds of type A∞ | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_46ec | |||||
タイプ | thesis | |||||
ID登録 | ||||||
ID登録 | 10.15083/00004027 | |||||
ID登録タイプ | JaLC | |||||
その他のタイトル | ||||||
その他のタイトル | A∞型超ケーラー多様体について | |||||
著者 |
HATSUTORI, Kouta
× HATSUTORI, Kouta |
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著者別名 | ||||||
識別子 | 9317 | |||||
識別子Scheme | WEKO | |||||
姓名 | 服部, 広大 | |||||
著者所属 | ||||||
著者所属 | 東京大学大学院数理科学研究科 | |||||
著者所属 | ||||||
著者所属 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
Abstract | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We study hyperkahler manifolds of type A∞ , which are noncompact real 4-dimensional manifolds of infinite topological type. Anderson-Kronheimer-LeBrun[1] and Goto [8] have constructed these hyperkahler manifolds whose metrics arecomplete and depend on the choice of parameters. We observe how the Riemannianmetrics and the complex structures which are induced from hyperkahler structuresdepend on the choice of parameters. In particular,· we focus on the asymptoticbehavior of these hyperkahler .metrics. By ·taking an appropriate parameter, weshow that there exists a complete hyperkahler manifold of type A∞ whose volumegrowth is rα for each 3 < α < 4. | |||||
書誌情報 | 発行日 2010-03-24 | |||||
日本十進分類法 | ||||||
主題 | 410 | |||||
主題Scheme | NDC | |||||
学位名 | ||||||
学位名 | 博士(数理科学) | |||||
学位 | ||||||
値 | doctoral | |||||
学位分野 | ||||||
Mathematical Sciences (数理科学) | ||||||
学位授与機関 | ||||||
学位授与機関名 | University of Tokyo (東京大学) | |||||
研究科・専攻 | ||||||
Graduate School of Mathematical Sciences (数理科学研究科) | ||||||
学位授与年月日 | ||||||
学位授与年月日 | 2010-03-24 | |||||
学位授与番号 | ||||||
学位授与番号 | 甲第26113号 | |||||
学位記番号 | ||||||
博数理第355号 |