2-step nilpotent lie groups of higher rank
Date
2002Source
Manuscripta MathematicaVolume
107Issue
1Pages
101-110Google Scholar check
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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.