Twistor space, Minkowski space and the conformal group
type: Item
instance of: scholarly article
title: Twistor space, Minkowski space and the conformal group
zbMATH Open document ID: 0591.53069
DOI: 10.1016/0378-4371(83)90050-X
author: P. M. van den Broek
published in: Physica A
publication date: 1983-01-01T00:00:00Z
review text: Although twistors describe the geometry of Minkowski space, the symmetry of compactified Minkowski space is not that of twistor space, but the latter is four-one homomorphic to the part of the former which is connected to the identity. To clarify this puzzle it is shown here that a better definition of a symmetry group for twistors is the group of transformations of projective space which preserve orthogonality; this is isomorphic to the Minkowski symmetry group.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83A05
Mathematics Subject Classification ID: 83C30
zbMATH DE Number: 3949259
zbMATH Keywords: Minkowski space
zbMATH Keywords: symmetry group
zbMATH Keywords: twistors
MaRDI profile type: Publication
cites work: Twistor Algebra
cites work: A Score Test for Zero Inflation in a Poisson Distribution
cites work: Twistors and the conformal group
full work available at URL: 0378-4371(83)90050-x
OpenAlex ID: W2087019603
description: scientific article; zbMATH DE number 3949259