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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…
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…
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…