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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2008 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149048 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862567697463640064 |
|---|---|
| author | Paneitz, S.M. |
| author_facet | Paneitz, S.M. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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 It is surely one of the most cited unpublished articles.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.
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| first_indexed | 2025-11-26T00:20:52Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149048 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T00:20:52Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Paneitz, S.M. 2019-02-19T13:18:01Z 2019-02-19T13:18:01Z 2008 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 https://nasplib.isofts.kiev.ua/handle/123456789/149048 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. This paper is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary) Article published earlier |
| spellingShingle | A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary) Paneitz, S.M. |
| title | 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_short | 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) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149048 |
| work_keys_str_mv | AT paneitzsm aquarticconformallycovariantdifferentialoperatorforarbitrarypseudoriemannianmanifoldssummary AT paneitzsm quarticconformallycovariantdifferentialoperatorforarbitrarypseudoriemannianmanifoldssummary |