Differential invariants and curved Bernstein-Gelfand-Gelfand sequences
type: Item
instance of: scholarly article
title: Differential invariants and curved Bernstein-Gelfand-Gelfand sequences
zbMATH Open document ID: 0985.58002
author: David M. J. Calderbank
author: Tammo Diemer
publication date: 2001-11-08T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0001158
Mathematics Subject Classification ID: 58A15
Mathematics Subject Classification ID: 53A30
Mathematics Subject Classification ID: 58J99
zbMATH DE Number: 1669675
zbMATH Keywords: natural differential operators
zbMATH Keywords: Bernstein-Gelfand-Gelfand sequences
zbMATH Keywords: conformal differential geometry
MaRDI profile type: Publication
OpenAlex ID: W2963843639
arXiv ID: math/0001158
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DOI: 10.1515/CRLL.2001.059
published in: Journal für die Reine und Angewandte Mathematik
review text: The authors present a simple construction of the Bernstein-Gelfand-Gelfand sequences of natural differential operators on a manifold with parabolic geometry. This method also allows to define the additional structure of a bilinear differential ``cup product'' satisfying the Leibniz rule up to curvature terms. The construction is illustrated in the case of conformal differential geometry.
reviewed by: Valery Borisovich Marenich
description: scientific article; zbMATH DE number 1669675