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arXiv:0903.0417 [math.DG]AbstractReferencesReviewsResources

Ricci curvature and monopole classes on 3-manifolds

Chanyoung Sung

Published 2009-03-03, updated 2012-05-17Version 4

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.

Categories: math.DG
Subjects: 57R57, 57M50, 53C99
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