Joonhyun Kim

activity

20162023

collaborators

3 papers

math.DG2023

PCR-Kähler equivalent metrics in the Siegel domain

Joonhyung Kim, Ioannis D. Platis, Li-Jie Sun

Let $H$ be the Heisenberg group. From the standard CR structure $H$ of $H$ we construct the complex hyperbolic structure of the Siegel domain. Addit…

math.GT2018

Quaternionic hyperbolic Kleinian groups with commutative trace skew-fields

Sungwoon Kim, Joonhyung Kim

Let $Γ$ be a nonelementary discrete subgroup of $Sp (n, 1)$ . We show that if the trace skew-field of $Γ$ is commutative, then $Γ$ stabilizes a copy of complex hyperbolic sub…

math.GT2016

A characterization of quaternionic Kleinian groups in dimension 2 with complex trace fields

Sungwoon Kim, Joonhyung Kim

Let $G$ be a non-elementary discrete subgroup of $Sp (2, 1)$ . We show that if the sum of diagonal entries of each element of $G$ is a complex number, then $G$ is conjugate t…