Weyl chamber flow on irreducible quotients of products of PSL(2,R)
arXiv:math/0405224
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.
18 pages, 2 figures