a1 Mathematics Department, Princeton University, Princeton, NJ 08544, USA.
a2 Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019, USA; firstname.lastname@example.org.
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.
(Received April 21 2003)
(Revised July 21 2003)
(Online publication March 15 2004)
Mathematics Subject Classification: