Homogeneous spaces with invariant projectively flat affine connections

被引：6
|
作者：
Shima, H [1 ]
机构：
[1] Yamaguchi Univ, Dept Math, Yamaguchi 7538512, Japan
[2] Brown Univ, Providence, RI 02912 USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 351卷 / 12期
关键词：
Invariant projectively flat affine connections; centro-affine immersions; homogeneous spaces; symmetric spaces; Jordan algebras;
D O I：
10.1090/S0002-9947-99-02523-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize invariant projectively at affine connections in terms of affine representations of Lie algebras, and show that a homogeneous space admits an invariant projectively at affine connection if and only if it has an equivariant centro-affine immersion. We give a correspondence between semi-simple symmetric spaces with invariant projectively at affine connections and central-simple Jordan algebras.
引用
收藏
页码：4713 / 4726
页数：14
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