Abstract. The set of primitive vectors on large spheres in the euclidean space of dimension d ≥ 3 equidistribute when projected on the unit sphere. We consider here a refinement...
Let Γ be a nonelementary discrete subgroup of SU(n, 1) or Sp(n, 1). We show that if the trace field of Γ is contained in R, Γ preserves a totally geodesic submanifold of consta...