Spin structures on real projective quadrics
type: Item
instance of: scholarly article
title: Spin structures on real projective quadrics
zbMATH Open document ID: 0776.57011
DOI: 10.1016/0393-0440(93)90025-A
author: Michel Cahen
author: Simone Gutt
author: Andrzej Trautman
published in: Journal of Geometry and Physics
publication date: 1993-06-29T00:00:00Z
review text: This paper constructs the spin structures on the real quadric \(Qp,q\) compatible with the usual Riemannian metric and pseudo-Riemannian metric of signature \((p,q)\). If one lets the projective space \(RP^{p+q+1}\) be the equivalence classes of \((p+q+2)\)-tuples \((x_ 0,\dots,x_ p,\;y_ 0,\dots,y_ q)\) with \(\sum x^ 2_ i+\sum y^ 2_ i=1\), identifying \((x,y)\) with \((-x,-y)\), then the quadric \(Qp,q\) is the subset satisfying \(\sum x^ 2_ i-\sum y^ 2_ i=0\).
Mathematics Subject Classification ID: 57R15
zbMATH DE Number: 219770
zbMATH Keywords: spin structures
zbMATH Keywords: real quadric
MaRDI profile type: Publication
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full work available at URL: 0393-0440(93)90025-a
OpenAlex ID: W1965940414
description: scientific article; zbMATH DE number 219770