1 citations · 2 across the 7 of their papers we have counts for
8 papers
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…
Quaternionic hyperbolic Kleinian groups with commutative trace skew-fields
Sungwoon Kim, Joonhyung Kim
Let be a nonelementary discrete subgroup of . We show that if the trace skew-field of is commutative, then stabilizes a copy of complex hyperbolic sub…
A characterization of quaternionic Kleinian groups in dimension 2 with complex trace fields
Sungwoon Kim, Joonhyung Kim
Let be a non-elementary discrete subgroup of . We show that if the sum of diagonal entries of each element of is a complex number, then is conjugate t…
On the recurrence formula of the Euler zeta functions
Joonhyung Kim
In this paper, we find a new recurrence formula fo the Euler zeta functions.
Complex and Quaternionic hyperbolic Kleinian groups with real trace fields
Joonhyung Kim, Sungwoon Kim
Let be a nonelementary discrete subgroup of SU(n,1) or Sp(n,1). We show that if the trace field of is contained in , preserves a totally geodesic submanifold…
A characterization of complex hyperbolic Kleinian groups in dimension 3 with trace fields contained in
Joonhyung Kim, Sungwoon Kim
We show that is a non-elementary complex hyperbolic Kleinian group in which for all if and only if is conjugate to a subgroup of $…
McShane's Identity in Rank One Symmetric Spaces
Inkang Kim, Joonhyung Kim, Ser Peow Tan
In this paper we study McShane's identity in real and complex hyperbolic spaces and obtain various generalizations of the identity for representations of surface groups into the is…
Quaternionic hyperbolic Fuchsian groups
Joonhyung Kim
In this paper we give the characterization of Fuchsian groups acting on quaternionic hyperbolic 2-space.