Modified classical flat Minkowski planes
type: Item
instance of: scholarly article
title: Modified classical flat Minkowski planes
zbMATH Open document ID: 1387.51015
author: Günter F. Steinke
publication date: 2018-03-29T00:00:00Z
review text: In this paper, the author continues the study begun in [Adv. Geom. 4, No. 3, 319--340 (2004; Zbl 1067.51008)] (a review in which one can find the definitions of the main concepts) of flat Minkowski planes whose automorphism groups are \(3\)-dimensional. New families of flat Minkowski planes that admit simple groups of automorphisms isomorphic to \(\mathrm{PSL}_2({\mathbb R})\) are described. The action of \(\mathrm{PSL}_2({\mathbb R})\) on the torus is the same as for the flat Minkowski planes in [loc. cit.] They are constructed by piecing together circles from the classical flat Minkowski plane. Their Klein-Kroll type is determined, and it turns out that they belong to Klein-Kroll types that are already known to exist.
reviewed by: Victor V. Pambuccian
Mathematics Subject Classification ID: 51H15
Mathematics Subject Classification ID: 51B20
zbMATH DE Number: 6854805
zbMATH Keywords: classical real Minkowski plane
zbMATH Keywords: flat Minkowski plane
zbMATH Keywords: automorphism group
zbMATH Keywords: group dimension
zbMATH Keywords: Klein-Kroll type
MaRDI profile type: Publication
full work available at URL: advgeom-2017-0026
OpenAlex ID: W2626041937
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DOI: 10.1515/ADVGEOM-2017-0026
published in: advg
description: scientific article; zbMATH DE number 6854805