Some functions of points in projective spaces
type: Item
instance of: scholarly article
title: Some functions of points in projective spaces
zbMATH Open document ID: 0889.51008
DOI: 10.1023/A:1004970529640
author: Joseph Zaks
published in: Geometriae Dedicata
publication date: 1998-06-08T00:00:00Z
review text: In 1995, the author proved a conjecture of B. Gruenbaum which states that in every \(n\)-polygon \(P\) (\(n \geq 5\)) of the real projective plane the intersection of certain diagonals of \(P\) defines a new \(n\)-polygon \(\delta (P)\), such that the product of the cross-ratios on the diagonals of \(P\) equals the product of the corresponding cross-ratios on the diagonals of \(\delta (P)\) [ibid. 60, 145-151 (1996; Zbl 0848.51012)]. In the paper under review the author generalizes this result to \(n\)-polygons (with \(n \geq d+2\)) of the real \(d\)-dimensional projective space.
Mathematics Subject Classification ID: 51E15
Mathematics Subject Classification ID: 51N15
Mathematics Subject Classification ID: 51N20
zbMATH DE Number: 1089238
zbMATH Keywords: \(n\)-polygons
zbMATH Keywords: projective space
zbMATH Keywords: derived polygon
MaRDI profile type: Publication
full work available at URL: a:1004970529640
OpenAlex ID: W43131509
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description: scientific article; zbMATH DE number 1089238