On generalized Einstein metrics.
Page 1
Labbi, Mohammed Larbi (2010)
Balkan Journal of Geometry and its Applications (BJGA)
Leslie D. Kay (1993)
Mathematische Zeitschrift
Alessandro Ghigi (2005)
Collectanea Mathematica
Using elementary convexity arguments involving the Legendre transformation and the Prékopa-Leindler inequality, we prove the sharp Moser-Onofri inequality, which says that1/16π ∫|∇φ|2 + 1/4π ∫ φ - log (1/4π ∫ eφ) ≥ 0for any funcion φ ∈ C∞(S2).
Paul Yang, Meijun Zhu (2004)
ESAIM: Control, Optimisation and Calculus of Variations
We prove that the Paneitz energy on the standard three-sphere is bounded from below and extremal metrics must be conformally equivalent to the standard metric.
Paul Yang, Meijun Zhu (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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.
Page 1