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2-step nilpotent Lie groups of higher rank

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Abstract:

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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Authors and Affiliations

  1. University of Cyprus, Department of Mathematics and Statistics, P.O. Box 20537, 1678 Nicosia, Cyprus. e-mail: samiou@ucy.ac.cy, , , , , , CY

    Evangelia Samiou

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  1. Evangelia Samiou
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Received: 2 July 2001 / Revised version: 19 October 2001

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Samiou, E. 2-step nilpotent Lie groups of higher rank. manuscripta math. 107, 101–110 (2002). https://doi.org/10.1007/s002290100227

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  • DOI: https://doi.org/10.1007/s002290100227

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