Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893712 | Journal of Geometry and Physics | 2007 | 11 Pages |
Abstract
By applying the L2L2-estimate of the scalar curvature of a Riemannian 3-manifold with a Seiberg–Witten monopole class to a collapsing sequence of metrics, we obtain conditions to be a monopole class on certain 3-manifolds. This also gives a relation between a maximizing sequence of the Yamabe constants and the collapsing on a 3-manifold with a non-torsion monopole class.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Chanyoung Sung,