Abstract
Let G be a connected Lie group, let Γ be a lattice in G, and let \(\mathcal{U}\) be a unipotent subgroup of G. It is proved that, for the natural action of \(\mathcal{U}\) on G/Γ, every minimal closed \(\mathcal{U}\)-invariant subset is compact.
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Dedicated to Professor Jacques Tits on the occasion of his sixtieth birthday
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Margulis, G.A. Compactness of minimal closed invariant sets of actions of unipotent groups. Geom Dedicata 37, 1–7 (1991). https://doi.org/10.1007/BF00150402
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DOI: https://doi.org/10.1007/BF00150402