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arxiv: 0912.0491 · v1 · submitted 2009-12-02 · 🧮 math.DG · math.SG

Toric Kahler Metrics: Cohomogeneity One Examples of Constant Scalar Curvature in Action-Angle Coordinates

classification 🧮 math.DG math.SG
keywords kahleraction-anglecohomogeneityconstantcoordinatescurvatureexamplesmetrics
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In these notes, after an introduction to toric Kahler geometry, we present Calabi's family of U(n)-invariant extremal Kahler metrics in symplectic action-angle coordinates and show that it actually contains, as particular cases, many interesting cohomogeneity one examples of constant scalar curvature.

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