MOMENTUM CONSTRUCTION ON RICCI-FLAT KAHLER CONES

被引：5
|
作者：
Futaki, Akito [1 ]
机构：
[1] Tokyo Inst Technol, Dept Math, Meguro Ku, Tokyo 1528551, Japan
来源：
TOHOKU MATHEMATICAL JOURNAL | 2011年 / 63卷 / 01期
关键词：
Calabi-ansatz; toric Fano manifold; Sasaki-Einstein manifold; METRICS; MANIFOLDS; EXAMPLES;
D O I：
10.2748/tmj/1303219934
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We extend Calabi ansatz over Kahler-Einstein manifolds to Sasaki-Einstein manifolds. As an application we prove the existence of a complete scalar-flat Kahler metric on Kahler cone manifolds over Sasaki-Einstein manifolds. In particular there exists a complete scalar-flat Kaher metric on the tonic Kahler cone manifold constructed from a toric diagram with a constant height.
引用
收藏
页码：21 / 40
页数：20
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