3 papers
math.DG2026
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…
math.DG2026
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…
math.GT2024
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.