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

D. Ferte
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Abstract

We study the topological dynamics of the action of the diagonal subgroup on quotients Gamma\PSL(2,R)*PSL(2,R), where Gamma 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 symmetric space H*H.

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D. Ferte. 2004-05-12. Weyl chamber flow on irreducible quotients of products of PSL(2,R). https://arxiv.org/abs/math/0405224

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