Projectively flat connections and flat connections on homogeneous spaces

被引：0

作者：

Urakawa, Hajime ^{[1
]}

机构：

[1] Tohoku Univ, Grad Sch Informat Sci, Div Math, Sendai, Miyagi 9808579, Japan

来源：

HOKKAIDO MATHEMATICAL JOURNAL | 2010年 / 39卷 / 02期

基金：

日本学术振兴会;

关键词：

projectively flat connection; flat connection; reductive homogeneous space; symmetric space; simple Lie group;

D O I：

10.14492/hokmj/1277385658

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show a correspondence between the set of all G-invariant projectively flat connections on a homogeneous space M = G/K, and the one of all (G) over tilde -invariant flat connections on homogeneous spaces (M) over tilde = (G) over tilde /K, where (G) over tilde is a central extension of G (Theorem 3.3).

引用

页码：139 / 155

页数：17

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