MOMENTUM CONSTRUCTION ON RICCI-FLAT KÄHLER CONES

• FUTAKI AKITO

  Department of Mathematics, Tokyo Institute of Technology

抄録

We extend Calabi ansatz over Kähler-Einstein manifolds to Sasaki-Einstein manifolds. As an application we prove the existence of a complete scalar-flat Kähler metric on Kähler cone manifolds over Sasaki-Einstein manifolds. In particular there exists a complete scalar-flat Kähler metric on the toric Kähler cone manifold constructed from a toric diagram with a constant height.

収録刊行物

• Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ

  Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ 63 (1), 21-40, 2011

  東北大学大学院理学研究科数学専攻

キーワード

• Calabi-ansatz
• toric Fano manifold
• Sasaki-Einstein manifold

詳細情報

• CRID: 1390001205118774400
• NII論文ID: 110008425967
• NII書誌ID: AA00863953
• DOI: 10.2748/tmj/1303219934
• ISSN: 2186585X
• ISSN: 00408735
• MRID: 2788774
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• 抄録ライセンスフラグ: 使用不可