Yamabe Constants and the Perturbed Seiberg-Witten Equations

Claude Lebrun

doi:10.4310/CAG.1997.v5.n3.a6

Yamabe Constants and the Perturbed Seiberg-Witten Equations

Claude Lebrun

Mathematics

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

62 Scopus citations

Abstract

Among all conformal classes of Riemannian metrics on CP₂, that of the Fubini-Study metric is shown to have the largest Yamabe constant. The proof, which involves perturbations of the Seiberg-Witten equations, also yields new total scalar curvature bounds for other 4-manifolds.

Original language	English
Pages (from-to)	535-553
Number of pages	19
Journal	Communications in Analysis and Geometry
Volume	5
Issue number	3
DOIs	https://doi.org/10.4310/CAG.1997.v5.n3.a6
State	Published - Oct 1997

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title = "Yamabe Constants and the Perturbed Seiberg-Witten Equations",

abstract = "Among all conformal classes of Riemannian metrics on CP2, that of the Fubini-Study metric is shown to have the largest Yamabe constant. The proof, which involves perturbations of the Seiberg-Witten equations, also yields new total scalar curvature bounds for other 4-manifolds.",

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AB - Among all conformal classes of Riemannian metrics on CP2, that of the Fubini-Study metric is shown to have the largest Yamabe constant. The proof, which involves perturbations of the Seiberg-Witten equations, also yields new total scalar curvature bounds for other 4-manifolds.

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JO - Communications in Analysis and Geometry

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Yamabe Constants and the Perturbed Seiberg-Witten Equations

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