Ioannis D. Platis

activity

20122026

most citedStraight ruled surfaces in the Heisenberg group

4 citations · 10 across the 25 of their papers we have counts for

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6 papers · 1 filter

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…

math.MG2021

Equilateral dimension of the Heisenberg group

J. Kim, I. D. Platis

Let $H$ be the first Heisenberg group equipped with the Korányi metric $d$ . We prove that the equilateral dimension of $H$ is 4.

math.MG2016

The Ptolemaean Inequality in the closure of complex hyperbolic plane

Ioannis D. Platis, Nilgün Sönmez

We prove Ptolemaean Inequality and Ptolemaeus' Theorem in the closure complex hyperbolic plane endowed with the Cygan metric.

math.MG2015

Modulus of revolution rings in the Heisenberg group

Ioannis D. Platis

Let $S$ be a surface of revolution embedded in the Heisenberg group $H$ . A revolution ring $R_{a, b} (S)$ , $0 < a < b$ , is a domain in $H$ bounded…

math.MG2014★ 2 cited

Moebius rigidity of invariant metrics in boundaries of symmetric spaces of rank 1

I. D. Platis, V. Schroeder

Let $\partial H_{K}^{n}$ denote the boundary of a symmetric space of rank-one and of non-compact type and let $d_{H}$ be the Korányi metric defined in $\parti…

math.MG2013

The Ptolemaean Inequality in H--type groups

Anestis Fotiadis, Ioannis D. Platis

We prove the Ptolemaean Inequality and the Theorem of Ptolemaeus in the setting of $H$ --type groups of Iwasawa--type.