Divergent torus orbits in homogeneous spaces of Q-rank two

Details Divergent torus orbits in homogeneous spaces of Q-rank two Divergent torus orbits in homogeneous spaces of Q-rank two

2004-09-08

arxiv.org/abs/math/0409121v1

Mathematics

Differential Geometry

10 pages, no figures

Scientific paper

Let G be the real points of a semisimple algebraic Q-group, let H be an
arithmetic subgroup of G and let T be the real points of an R-split torus in G.
We prove that if there is a divergent T-orbit in G/H, and Q-rank(G) > 1, then
the dimension of T is not larger than Q-rank(G). This provides a partial answer
to a question of G.Tomanov and B.Weiss.

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