Anti-invariant Riemannian Submersions: A Lie-theoretical Approach

被引：11

作者：

Gilkey, Peter ^{[1
]}

Itoh, Mitsuhiro ^{[2
]}

Park, JeongHyeong ^{[3
,4
]}

机构：

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

[2] Univ Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 3058577, Japan

[3] Sungkyunkwan Univ, Dept Math, 2066 Seobu Ro, Suwon 16419, South Korea

[4] Korea Inst Adv Study, Sch Math, 85 Hoegiro Dongdaemun Gu, Seoul 02455, South Korea

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2016年 / 20卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

Riemannian submersion; Anti-invariant almost Hermitian; Anti-invariant quatern ion; Anti-invariant para-Hermitian; Anti-invariant para-quaternion; Anti-invariant octonian; MANIFOLDS;

D O I：

10.11650/tjm.20.2016.6898

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a construction which is Lie theoretic of anti-invariant Riemannian submersions from almost Hermitian manifolds, from quaternion manifolds, from para-Hermitian manifolds, from para-quaternion manifolds, and from octonian manifolds. This yields many compact Einstein examples.

引用

页码：787 / 800

页数：14

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