7 papers
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…
Modulus of elementary domains in the hyperbolic plane
Ioannis D. Platis
We study the modulus of curve families inside elementary domains of the hyperbolic plane . We establish exact expressions for the modulus of connecting and…
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.
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…
On the sub-Riemannian geometry of the quaternionic Heisenberg group
Joonhyung Kim, Ioannis D. Platis, Li-Jie Sun
Utilizing the framework of quaternionic contact geometry, we define a sequence of Riemannian metrics on the quaternionic Heisenberg group by r…