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math.MG2021
Equilateral dimension of the Heisenberg group
J. Kim, I. D. Platis
Let be the first Heisenberg group equipped with the Korányi metric . We prove that the equilateral dimension of is 4.
math.DG2021
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…