Lie pseudogroups and differential sequences. New perspectives in two- dimensional conformal geometry
type: Item
instance of: scholarly article
title: Lie pseudogroups and differential sequences. New perspectives in two- dimensional conformal geometry
zbMATH Open document ID: 0771.58048
DOI: 10.1016/0393-0440(92)90007-N
author: S. Lazzarini
author: J. F. Pommaret
published in: Journal of Geometry and Physics
publication date: 1993-06-29T00:00:00Z
review text: The paper starts with a detailed introduction into the theory of Lie pseudogroups. Then it is shown that all affine and projective structures on a Riemann surface emerge from the nonlinear Janet sequence for the \(2- d\) conformal pseudogroup. Furthermore, the gauge theory for the same pseudogroup is related with the first nonlinear Spencer sequence. This implies the vanishing curvature conditions obtained in a BRS differential algebraic framework by \textit{L. Baulieu}, \textit{M. Bellon} and \textit{R. Grimm} [Phys. Lett. B 260, 63-69 (1991)].
Mathematics Subject Classification ID: 58H05
Mathematics Subject Classification ID: 81T40
Mathematics Subject Classification ID: 53A30
zbMATH DE Number: 219767
zbMATH Keywords: differential sequence
zbMATH Keywords: conformal geometry
zbMATH Keywords: gauge theory
zbMATH Keywords: Lie pseudogroups
Wikidata QID: Q115363136
MaRDI profile type: Publication
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full work available at URL: 0393-0440(92)90007-n
OpenAlex ID: W1654008889
reviewed by: Ivan Kolář
description: scientific article; zbMATH DE number 219767