Collapsing and monopole classes of 3-manifolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:57

Article

Sung, Chanyoung

关键词: Seiberg-Witten monopole;    scalar curvature;    collapsing;    Yamabe constant;   

DOI  :  10.1016/j.geomphys.2006.04.006

来源: Elsevier

【 摘 要 】

By applying the L-2-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. (c) 2006 Elsevier B.V. All rights reserved.

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