Sasaki-Einstein Metrics on S2 x S3

被引：0

作者：

Imada, Mitsuhiro ^{[1
]}

机构：

[1] Keio Univ, Yokohama, Kanagawa 2238532, Japan

来源：

TOKYO JOURNAL OF MATHEMATICS | 2012年 / 35卷 / 02期

关键词：

D O I：

10.3836/tjm/1358951325

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In [9], Boyer and Galicki introduced a contact reduction method in the context of Sasakian manifolds, which produces 5-dimentional Sasaki-Einstein manifolds from a 7-sphere. In this paper, we compute very explicitly the metric obtained from the above mentioned reduction via a projection, S-3 x S-3 -> S-2 x S-3, and show that this metric is the homogeneous Kobayashi-Tanno metric.

引用

页码：367 / 373

页数：7

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