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.
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页码：101 / 110
页数：9
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