Advanced Nonlinear Studies · 2006 · 18 citations · 5 references
Natural SciencesMathematicsPhysicsGeometryTheoretical PhysicsTopologyDifferential GeometryEuclidean GeometrySpherical GeometryConformal GeometryConformal InvarianceCurvatureSpherical Topology
Abstract In this paper, we study some fourth order conformal invariants on the standard n-spheres, n ≥ 5. Using topological arguments, we give a variety of classes of functions that can be realized as Paneitz curvature.
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On the prescribed scalar curvature problem on 4-manifolds
Mohamed Ben Ayed, Yansong Chen, Hichem Chtioui et al. · Duke Mathematical Journal · 1996 · 111 citations