Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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RICCI CURVATURE AND MONOPOLE CLASSES ON 3-MANIFOLDS

  • Sung, Chan-Young (Department of Mathematics and Institute for Mathematical Sciences Konkuk University)
  • Received : 2010.12.24
  • Published : 2012.09.01
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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

Acknowledgement

Supported by : National Research Foundation of Korea(NRF)

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