Polarized 4-Manifolds, Extremal Kähler Metrics, and S-W Theory

dc.creatorLeBrun, Claude
dc.date1995-06-05
dc.date.accessioned2026-07-07T09:12:33Z
dc.date.available2026-07-07T09:12:33Z
dc.descriptionUsing Seiberg-Witten theory, it is shown that any Kaehler metric of constant negative scalar curvature on a compact 4-manifold M minimizes the L^2-norm of scalar curvature among Riemannian metrics compatible with a fixed decomposition H^2(M)=(H^+) + (H^-). This implies, for example, that any such metric on a minimal ruled surface must be locally symmetric.
dc.description10 pages, latex
dc.identifierhttps://arxiv.org/abs/dg-ga/9506002
dc.identifierhttp://arxiv.org/abs/dg-ga/9506002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152055
dc.subjectDifferential Geometry
dc.titlePolarized 4-Manifolds, Extremal Kähler Metrics, and S-W Theory
dc.typetext

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