Weyl Curvature, Einstein Metrics, and Seiberg-Witten Theory

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We show that solutions of the Seiberg-Witten equations lead to non-trivial lower bounds for the L2-norm of the Weyl curvature of a compact Riemannian 4-manifold. These estimates are then used to derive new obstructions to the existence of Einstein metrics. These results considerably refine those previously obtained using scalar-curvature estimates alone.
17 pages. LaTeX2e. Revised version improves estimates, simplifies proofs, and gives cleaner applications

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Differential Geometry, Algebraic Geometry, Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/76722

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9803093
 http://arxiv.org/abs/math/9803093

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arXiv