2 papers
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.
math.MG2024
Hyperbolicity of the sub-Riemannian affine-additive group
Zoltán M. Balogh, Elia Bubani, Ioannis D. Platis
We consider the affine-additive group as a metric measure space with a canonical left-invariant measure and a left-invariant sub-Riemannian metric. We prove that this metric measur…