On the Paneitz energy on standard three sphere
Princeton University, Princeton, NJ 08544, USA.
2 Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019, USA; firstname.lastname@example.org.
Revised: 21 July 2003
We prove that the Paneitz energy on the standard three-sphere S3 is bounded from below and extremal metrics must be conformally equivalent to the standard metric.
Mathematics Subject Classification: 58E11 / 35G99
Key words: Paneitz operator / symmetrization / extremal metric.
© EDP Sciences, SMAI, 2004