On the Paneitz energy on standard three sphere

Paul Yang; Meijun Zhu

doi:10.1051/cocv:2004002

On the Paneitz energy on standard three sphere

Paul Yang, Meijun Zhu

Mathematics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	211-223
Number of pages	13
Journal	ESAIM - Control, Optimisation and Calculus of Variations
Volume	10
Issue number	2
DOIs	https://doi.org/10.1051/cocv:2004002
State	Published - Apr 2004

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Control and Optimization
Computational Mathematics

Keywords

Extremal metric
Paneitz operator
Symmetrization

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10.1051/cocv:2004002

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abstract = "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.",

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author = "Paul Yang and Meijun Zhu",

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KW - Symmetrization

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On the Paneitz energy on standard three sphere

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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