Yamabe Constants and the Perturbed Seiberg-Witten Equations
Abstract
Description
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.
LaTeX file, 17 pages
LaTeX file, 17 pages