A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
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DOI：
10.3842/sigma.2008.036
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发表时间：
2008-03
影响因子：
0.9
通讯作者：
S. M. Paneitz
中科院分区：
文献类型：
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作者：
S. M. Paneitz
这是1983年3月9日的原稿，由为纪念托马斯·布兰森而举行的2007年中西部几何会议论文集的编辑排版。Stephen Paneitz于1983年9月1日在Clausthal参加会议时去世，手稿从未出版。20多年来，这几页纸一直是非正式流传的。2004年11月，作为对数学界的服务，汤姆·布兰森在他的网站上添加了手稿的扫描件。在这里，我们更正式地提供它。这无疑是被引用最多的未发表文章之一。本文中定义的微分算子在四维共形微分几何中起着关键作用，现在被称为Paneitz算子。
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 It is surely one of the most cited unpublished articles.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 role in conformal differential geometry in dimension 4 and is now known as the Paneitz operator.