Yamabe Constants and the Perturbed Seiberg-Witten Equations
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
Among all conformal classes of Riemannian metrics on , 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.
Keywords
Cite
@article{arxiv.dg-ga/9605009,
title = {Yamabe Constants and the Perturbed Seiberg-Witten Equations},
author = {Claude LeBrun},
journal= {arXiv preprint arXiv:dg-ga/9605009},
year = {2008}
}
Comments
LaTeX file, 17 pages