3 papers
math.DG2026
Horizontal curvatures of surfaces in 3D contact sub-Riemannian Lie groups
Elia Bubani, Andrea Pinamonti, Ioannis D. Platis +1
In this paper we study horizontal curvatures for surfaces embedded in three-dimensional contact sub-Riemannian Lie groups. Using a Riemannian approximation scheme, we derive explic…
math.DG2024
Stretch maps on the affine-additive group
Z. M. Balogh, E. Bubani, I. D. Platis
We define linear and radial stretch maps in the affine-additive group, and prove that they are minimizers of the mean quasiconformal distortion functional. For the proofs we use a…
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…