Geodesic
On the Paneitz energy on standard three sphere
ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 2, pp. 211-223

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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.

DOI : 10.1051/cocv:2004002
Classification : 58E11, 35G99
Keywords: Paneitz operator, symmetrization, extremal metric 
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     author = {Yang, Paul and Zhu, Meijun},
     title = {On the {Paneitz} energy on standard three sphere},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {211--223},
     publisher = {EDP-Sciences},
     volume = {10},
     number = {2},
     year = {2004},
     doi = {10.1051/cocv:2004002},
     mrnumber = {2083484},
     zbl = {1072.58026},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2004002/}
}
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Yang, Paul; Zhu, Meijun. On the Paneitz energy on standard three sphere. ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 2, pp. 211-223. doi: 10.1051/cocv:2004002

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