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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.DG2022
Bisectors in the Heisenberg group I
Gaoshun Gou, Yueping Jiang, Ioannis D. Platis
We show that metric bisectors with respect to the Korányi metric in the Heisenberg group are spinal spheres and vice versa. We also calculate explicitly their horizontal mean curva…
math.DG2018
The modulus of the Korányi ellipsoidal ring
Gaoshun Gou, I. D. Platis
The Korányi ellipsoidal ring of radii and , , is defined as the image of the Korányi spherical ring of the same radii and centred at the origin via a li…