On the Paneitz energy on standard three sphere

Paul Yang; Meijun Zhu

ESAIM: Control, Optimisation and Calculus of Variations (2004)

  • Volume: 10, Issue: 2, page 211-223
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Yang, Paul, and Zhu, Meijun. "On the Paneitz energy on standard three sphere." ESAIM: Control, Optimisation and Calculus of Variations 10.2 (2004): 211-223. <http://eudml.org/doc/246042>.

@article{Yang2004,
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.},
author = {Yang, Paul, Zhu, Meijun},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Paneitz operator; symmetrization; extremal metric},
language = {eng},
number = {2},
pages = {211-223},
publisher = {EDP-Sciences},
title = {On the Paneitz energy on standard three sphere},
url = {http://eudml.org/doc/246042},
volume = {10},
year = {2004},
}

TY - JOUR
AU - Yang, Paul
AU - Zhu, Meijun
TI - On the Paneitz energy on standard three sphere
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2004
PB - EDP-Sciences
VL - 10
IS - 2
SP - 211
EP - 223
AB - 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.
LA - eng
KW - Paneitz operator; symmetrization; extremal metric
UR - http://eudml.org/doc/246042
ER -

References

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