Q581838
type: Item
instance of: scholarly article
title: Orthogonalitätsrelationen mit Parallelinvarianz und Zentralbündel von Schrägspiegelungen an Ebenen im äquiaffinen Raum. (On orthogonality relations with invariance of parallelity and central bundles of skew reflections on planes in equi-affine spaces)
zbMATH Open document ID: 0689.51005
author: Peter Brückmann
author: Marion Staskowiak
published in: Beiträge zur Algebra und Geometrie
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/138390
review text: In a 3-dimensional affine space over a commutative field of characteristic \(\neq 2\) the authors study orthogonality relations between lines and planes with the following properties: Compatibility with \(\|\); a richness condition; two spatial generalizations of the statement, that the altitudes of a triangle intersect in a common point. A description of these orthogonality relations is given in terms of linear algebras. Furthermore, the authors study relations between skew reflections which have a plane E as axis and the parallel class of perpendiculars to E for center.
Mathematics Subject Classification ID: 51F15
zbMATH DE Number: 4129527
zbMATH Keywords: orthogonality in affine spaces
zbMATH Keywords: skew reflections
MaRDI profile type: Publication
label: Orthogonalitätsrelationen mit Parallelinvarianz und Zentralbündel von Schrägspiegelungen an Ebenen im äquiaffinen Raum. (On orthogonality relations with invariance of parallelity and central bundles of skew reflections on planes in equi-affine spaces)
description: scientific article; zbMATH DE number 4129527