2-step nilpotent Lie groups of higher rank

被引：0
|
作者：
Evangelia Samiou
机构：
[1] University of Cyprus,
[2] Department of Mathematics and Statistics,undefined
[3] P.O. Box 20537,undefined
[4] 1678 Nicosia,undefined
[5] Cyprus. e-mail: samiou@ucy.ac.cy,undefined
来源：
manuscripta mathematica | 2002年 / 107卷
关键词：
Mathematics Subject Classification (2000): 53C30, 22E25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct a family of simply connected 2-step nilpotent Lie groups of higher rank such that every geodesic lies in a flat. These are as Riemannian manifolds irreducible and arise from real representations of compact Lie algebras. Moreover we show that groups of Heisenberg type do not even infinitesimally have higher rank.
引用
收藏
页码：101 / 110
页数：9
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