4 citations · 10 across the 25 of their papers we have counts for
32 papers
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…
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…
Extremality of hyperbolic spiral and stretch maps
Ioannis D. Platis
We prove extremality results concerning specific quasiconformal mappings in the hyperbolic plane, namely, hyperbolic spiral and stretch maps.
Strictly paired linear automorphisms of
Ioannis D. Platis
This paper investigates the algebraic and differential geometric properties of smooth mappings between domains in , classifying them according to the constant ranks o…
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…
An isoperimetric inequality on three-dimensional, contact, non-unimodular Lie groups
Ioannis D. Platis, Georgios I. Simantiras
We prove an isoperimetric inequality for compact bodies bounded by surfaces embedded into a connected, contact, non-unimodular 3-dimensional Lie group.