2 citations · 4 across the 7 of their papers we have counts for
9 papers
Bisectors in the Heisenberg group II
Gaoshun Gou, Joonhyung Kim, Ioannis D. Platis +1
Following previous work on metric bisectors with respect to the Korányi metric, we study here bisectors in the Heisenberg group equipped with the Carnot--Carathéodor…
On the sub-Riemannian geometry of the quaternionic Heisenberg group
Joonhyung Kim, Ioannis D. Platis, Li-Jie Sun
Utilizing the framework of quaternionic contact geometry, we define a sequence of Riemannian metrics on the quaternionic Heisenberg group by r…
Geodesics on the Kahler cone of the Heisenberg group
Joonhyung Kim, Ioannis D. Platis, Li-Jie Sun
In this paper we describe the geodesics on the Kähler cone of the Heisenberg group. Furthermore we also prove that this is not a complete manifold.
PCR-Kähler equivalent metrics in the Siegel domain
Joonhyung Kim, Ioannis D. Platis, Li-Jie Sun
Let be the Heisenberg group. From the standard CR structure of we construct the complex hyperbolic structure of the Siegel domain. Addit…
-Fuchsian subgroups of some non-arithmetic lattices
Li-Jie Sun
We give a general procedure to analyze the structure for certain -Fuchsian subgroups of some non-arithmetic lattices. We will also show that their fundamental domains l…
Half plane geometries
Ioannis D. Platis, Li-Jie Sun
In this paper, we endow the right half plane with warped product metrics. The group of holomorphic isometries of all such metrics is isomorphic to the real additive group. Of our i…
A Kähler structure for the configuration space of four points in
Ioannis D. Platis, Li-Jie Sun
We show that an open subset of the configuration space of four points in is in bijection with an open subset of %with a Kähler structure w…
Complex Hyperbolic Triangle Groups with 2-fold Symmetry
John R. Parker, Li-Jie Sun
In this paper we will consider the 2-fold symmetric complex hyperbolic triangle groups generated by three complex reflections through angle 2pi/p with p no smaller than 2. We will…
Notes on complex hyperbolic triangle groups of type (m,n,infinity)
Li-Jie Sun
In this paper we mainly pay attention to the complex hyperbolic triangle groups of type (m, n, infinity) and discuss the discreteness. From the results more explicit conclusions ab…