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Weyl chamber flow on irreducible quotients of PSL(2, ℝ) × PSL(2, ℝ)

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Abstract

We study the topological dynamics of the action of the diagonal subgroup on quotients Γ\PSL(2, ℝ) × PSL(2, ℝ), where Γ is an irreducible lattice. Closed orbits are described and a set of points of dense orbit is explicitly given. Such properties are expressed using the Furstenberg boundary of the associated symmetric space ℍ × ℍ.

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  1. IRMAR-Universite Rennes I, 35042 Rennes, Cedex, France

    D. Ferte

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  1. D. Ferte
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Correspondence to D. Ferte.

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Ferte, D. Weyl chamber flow on irreducible quotients of PSL(2, ℝ) × PSL(2, ℝ). Transformation Groups 11, 17–28 (2006). https://doi.org/10.1007/s00031-005-1102-9

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  • DOI: https://doi.org/10.1007/s00031-005-1102-9

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