Weyl Curvature, Einstein Metrics, and Seiberg-Witten Theory

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dc.creatorLeBrun, Claude
dc.date1998-03-20
dc.date1998-04-15
dc.date.accessioned2026-07-07T05:24:08Z
dc.date.available2026-07-07T05:24:08Z
dc.descriptionWe 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.
dc.description17 pages. LaTeX2e. Revised version improves estimates, simplifies proofs, and gives cleaner applications
dc.identifierhttps://arxiv.org/abs/math/9803093
dc.identifierhttp://arxiv.org/abs/math/9803093
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76722
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.titleWeyl Curvature, Einstein Metrics, and Seiberg-Witten Theory
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