Communications in Analysis and Geometry · 1997 · 97 citations · 10 references
Natural SciencesMathematicsPhysicsGeometryCurved SpacetimeDifferential GeometryMetric GeometryRiemannian GeometrySpacetime GeometrySymplectic GeometryConformal GeometryCurvature Bounded AboveRiemannian MetricScalar Curvature
Among all conformal classes of Riemannian metrics on CP2, that of the Fubini-Study metric is shown to have the largest Yamabe constant. The proof, which involves perturbations of the Seiberg-Witten equations, also yields new total scalar curvature bounds for other 4-manifolds.
10