4 citations · 14 across the 9 of their papers we have counts for
9 papers
Three-manifolds at infinity of complex hyperbolic orbifolds
Jiming Ma, Baohua Xie
We show the manifolds at infinity of the complex hyperbolic triangle groups and ,are one-cusped hyperbolic 3-manifolds and in the…
Spherical CR uniformization of the magic 3-manifold
Jiming Ma, Baohua Xie
We show the 3-manifold at infinity of the complex hyperbolic triangle group is the three-cusped "magic" 3-manifold . We also show the 3-manifold…
A uniformizable spherical CR structure on a two-cusped hyperbolic 3-manifold
Yueping Jiang, Jieyan Wang, Baohua Xie
Let be the complex hyperbolic triangle group. In this paper we give a proof of a conjecture of Schwartz for $\langle I_{1}, I_{2…
Generators of the sister of Euclidean Picard modular group
BaoHua Xie
The sister of Eisenstein-Picard modular group was described in [8]. In this paper we give a similar definition of the sister of the Euclidean-Picard modular group and find its gene…
Generators of the Gauss-Picard modular groups in three complex dimensions
BaoHua Xie, JieYan Wang, YuePing Jiang
In this paper, we prove that the Gauss--Picard modular group PU(3,1;Z[i])in three complex dimensions can be generated by five given transformations: two Heisenberg translations, tw…
Balls in complex hyperbolic manifolds
Baohua Xie, Jieyan Wang, Yueping Jiang
In this paper we get an explicit lower bound for the radius of a Bergman ball contained in the Dirichlet fundamental polyhedron of a torsion-free discrete group …
The complex hyperbolic Kleinian groups with an invariant totally geodesic submanifold
Baohua Xie
In this notes, we characterize discrete subgroups of PU(2,1), holomorphic isometric group of complex hyperbolic space, which have an invariant totally geodesic submanifold.
Groups generated by two elliptic elements in PU(2,1)
Baohua Xie, Yueping Jiang
Let and be two elliptic elements in of order and respectively, where . We prove that if the distance between the complex line…
Generators of Picard modular groups
Yueping Jiang, Jieyan Wang, Baohua Xie
In this paper, we extend the method in [FFLP] to obtain the generators of the Picard modular groups with .