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  1. 121 数理科学研究科
  2. 12120 博士論文(数理科学専攻)
  1. 0 資料タイプ別
  2. 20 学位論文
  3. 021 博士論文

On hyperkähler manifolds of type A∞

https://doi.org/10.15083/00004027
47841188-3920-4ec1-bcc2-036b91fe1bdd
名前 / ファイル ライセンス アクション
HatsutoriK_22_3_PhD_a.pdf HatsutoriK_22_3_PhD_a.pdf (3.9 MB)
HatsutoriK_22_3_PhD_b.pdf HatsutoriK_22_3_PhD_b.pdf (117.1 kB)
Item type 学位論文 / Thesis or Dissertation(1)
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

WEKO 9316

HATSUTORI, Kouta

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著者別名
識別子
識別子 9317
識別子Scheme WEKO
姓名
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
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
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