Yamabe Constants and the Perturbed Seiberg-Witten Equations

Details Yamabe Constants and the Perturbed Seiberg-Witten Equations Yamabe Constants and the Perturbed Seiberg-Witten Equations

1996-05-29

arxiv.org/abs/dg-ga/9605009v1

Mathematics

Differential Geometry

LaTeX file, 17 pages

Scientific paper

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-K\"ahler
4-manifolds.

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