[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2012.49.5.965

RICCI CURVATURE AND MONOPOLE CLASSES ON 3-MANIFOLDS

Sung, Chan-Young (Department of Mathematics and Institute for Mathematical Sciences Konkuk University)

Publication Information

Journal of the Korean Mathematical Society / v.49, no.5, 2012 , pp. 965-976 More about this Journal

Abstract

We prove an $L^2$ -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;

Citations & Related Records

Reference

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