RICCI CURVATURE AND MONOPOLE CLASSES ON 3-MANIFOLDS

Title & Authors
RICCI CURVATURE AND MONOPOLE CLASSES ON 3-MANIFOLDS
Sung, Chan-Young;

Abstract
We prove an $\small{L^2}$-estimate of Ricci curvature in terms of harmonic 1-forms 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.
Keywords
Seiberg-Witten equations;Ricci curvature;monopole class;
Language
English
Cited by
1.
$$G$$ -monopole classes, Ricci flow, and Yamabe invariants of 4-manifolds, Geometriae Dedicata, 2014, 169, 1, 129
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