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arXiv · dg-ga/9605009

Yamabe Constants and the Perturbed Seiberg-Witten Equations

Claude LeBrun
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Abstract

Among all conformal classes of Riemannian metrics on ${\Bbb CP}_2$, 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 results on the total scalar curvature of almost-Kähler 4-manifolds.

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BibTeXRIS

Claude LeBrun. 1996-05-29. Yamabe Constants and the Perturbed Seiberg-Witten Equations. https://arxiv.org/abs/dg-ga/9605009

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