Mathematical Research Letters · 2011 · 18 citations · 9 references
Natural SciencesMathematicsPhysicsDifferential EquationsGeometryGravitationAlgebraic GeometryAnalytic GeometryCurved SpacetimeRiemannian GeometrySpacetime GeometrySymplectic GeometryCurvaturePeriodic Solutions Of Differential EquationsRicci CurvatureScalar Curvature
We solve Abreu's equation with periodic right hand side, in any dimension. This can be interpreted as prescribing the scalar curvature of a torus invariant metric on an Abelian variety.
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Curvature Functions for Compact 2-Manifolds
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$K$-energy maps integrating Futaki invariants
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