A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)

This is the original manuscript dated March 9th 1983, typeset by the Editors for the Proceedings of the Midwest Geometry Conference 2007 held in memory of Thomas Branson. Stephen Paneitz passed away on September 1st 1983 while attending a conference in Clausthal and the manuscript was never publishe...

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Дата:2008
Автор: Paneitz, S.M.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2008
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/149048
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary) / S.M. Paneitz // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1490482019-02-20T01:28:52Z A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary) Paneitz, S.M. This is the original manuscript dated March 9th 1983, typeset by the Editors for the Proceedings of the Midwest Geometry Conference 2007 held in memory of Thomas Branson. Stephen Paneitz passed away on September 1st 1983 while attending a conference in Clausthal and the manuscript was never published. For more than 20 years these few pages were circulated informally. In November 2004, as a service to the mathematical community, Tom Branson added a scan of the manuscript to his website. Here we make it available more formally. It is surely one of the most cited unpublished articles. The differential operator defined in this article plays a key rôle in conformal differential geometry in dimension 4 and is now known as the Paneitz operator. 2008 Article A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary) / S.M. Paneitz // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — англ. 1815-0659 2000 Mathematics Subject Classification: 53A30; 58J70 http://dspace.nbuv.gov.ua/handle/123456789/149048 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description This is the original manuscript dated March 9th 1983, typeset by the Editors for the Proceedings of the Midwest Geometry Conference 2007 held in memory of Thomas Branson. Stephen Paneitz passed away on September 1st 1983 while attending a conference in Clausthal and the manuscript was never published. For more than 20 years these few pages were circulated informally. In November 2004, as a service to the mathematical community, Tom Branson added a scan of the manuscript to his website. Here we make it available more formally. It is surely one of the most cited unpublished articles. The differential operator defined in this article plays a key rôle in conformal differential geometry in dimension 4 and is now known as the Paneitz operator.
format Article
author Paneitz, S.M.
spellingShingle Paneitz, S.M.
A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Paneitz, S.M.
author_sort Paneitz, S.M.
title A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
title_short A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
title_full A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
title_fullStr A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
title_full_unstemmed A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
title_sort quartic conformally covariant differential operator for arbitrary pseudo-riemannian manifolds (summary)
publisher Інститут математики НАН України
publishDate 2008
url http://dspace.nbuv.gov.ua/handle/123456789/149048
citation_txt A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary) / S.M. Paneitz // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT paneitzsm aquarticconformallycovariantdifferentialoperatorforarbitrarypseudoriemannianmanifoldssummary
AT paneitzsm quarticconformallycovariantdifferentialoperatorforarbitrarypseudoriemannianmanifoldssummary
first_indexed 2023-05-20T17:32:04Z
last_indexed 2023-05-20T17:32:04Z
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