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math.DG2023
Moduli of triples of points in quaternionic hyperbolic geometry
Igor Almeida, Nikolay Gusevskii
In this work, we describe the moduli of triples of points in quaternionic projective space which define uniquely the congruence classes of such triples relative to the action of th…
math.DG2022★ 2 cited
On bisectors in quaternionic hyperbolic space
Igor A. R. Almeida, Jaime L. O. Chamorro, Nikolay Gusevskii
In this paper, we study a problem related to geometry of bisectors in quaternionic hyperbolic geometry. We develop some of the basic theory of bisectors in quaternionic hyperbolic…
math.DG2013
A note on trace fields of complex hyperbolic groups
Heleno Cunha, Nikolay Gusevskii
We show that if is an irreducible subgroup of , then contains a loxodromic element . If has eigenvalues , $λ_3 = λ^{-…