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

被引:231
作者
Paneitz, Stephen M.
机构
关键词
Paneitz operator; conformal covariance;
D O I
10.3842/SIGMA.2008.036
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This is the original manuscript dated March 9(th) 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 1(st) 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 It is surely one of the most cited unpublished articles.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.
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页数:3
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