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On the Paneitz energy on standard three sphere

Published online by Cambridge University Press:  15 March 2004

Paul Yang  and
Meijun Zhu
Paul Yang
Affiliation:
Mathematics Department, Princeton University, Princeton, NJ 08544, USA.
Meijun Zhu
Affiliation:
Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019, USA; mzhu@math.ou.edu.
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Abstract

We prove that the Paneitz energy on the standard three-sphere S 3 is bounded from below and extremal metrics must be conformally equivalent to the standard metric.

Keywords

Paneitz operatorsymmetrizationextremal metric.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 10 , Issue 2 , April 2004 , pp. 211 - 223
Copyright
© EDP Sciences, SMAI, 2004

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