Examples of naturally reductive pseudo Riemannian Lie groups

被引：2
|
作者：
Ovando, Gabriela P. [1 ]
机构：
[1] Univ Nacl Rosario, CONICET, Dept Matemat, ECEN,FCEIA, RA-2000 Rosario, Santa Fe, Argentina
来源：
XIX INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS | 2011年 / 1360卷
关键词：
Naturally reductive pseudo Riemannian; nilpotent; Lie groups; INVARIANT; ALGEBRAS;
D O I：
10.1063/1.3599142
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We provide examples of naturally reductive pseudo-Riemannian spaces, in particular an example of a naturally reductive pseudo-Riemannian 2-step nilpotent Lie group (N, < , > (N)), such that < , > (N) is invariant under a left action and for which the center is degenerate. The metric does not correspond to a bi-invariant one.
引用
收藏
页码：157 / 163
页数：7
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