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JLMS
2016
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8 years 2 months ago
Integer points on spheres and their orthogonal grids
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...
Menny Aka, Manfred Einsiedler, Uri Shapira
JLMS
2016
45views more  JLMS 2016»
8 years 2 months ago
Complex and quaternionic hyperbolic Kleinian groups with real trace fields
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...
Sungwoon Kim, Joonhyung Kim