Seiberg-Witten equations and Ricci curvature on 3-manifolds

Details Seiberg-Witten equations and Ricci curvature on 3-manifolds Seiberg-Witten equations and Ricci curvature on 3-manifolds

2009-03-03

arxiv.org/abs/0903.0417v3

Mathematics

Differential Geometry

Scientific paper

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 in some specific cases.

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