Ricci curvature and monopole classes on 3-manifolds
Differential Geometry
2012-05-18 v4
Abstract
We prove an L^2-estimate involving Ricci curvature and a harmonic 1-form on a closed oriented Riemannian 3-manifold admitting a solution of any rescaled Seiberg-Witten equations. We also give a necessary condition to be a monopole class on some special connected sums.
Cite
@article{arxiv.0903.0417,
title = {Ricci curvature and monopole classes on 3-manifolds},
author = {Chanyoung Sung},
journal= {arXiv preprint arXiv:0903.0417},
year = {2012}
}