3 papers
math.DG2026
Sub-Riemannian geodesics in the affine-additive group
Elia Bubani, Ioannis D. Platis, Georgios I. Simantiras +1
We derive the sub-Riemannian geodesics of the affine-additive group using the Pontryagin Maximum Principle (PMP) and compute the associated cut times. We then proceed to construct…
math.DG2026
Tanaka-Webster curvatures of surfaces in 3D Lie groups with a CR structure
Ioannis D. Platis, Dimitrios Tsolis
We consider the Tanaka-Webster geometry of surfaces embedded in a 3-dimensional Lie group with a CR structure inherited by a contact form. We define the notions of Gauss and mean c…
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…