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).
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页码：139 / 155
页数：17
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