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

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

2009-12-02

arxiv.org/abs/0912.0491v1

Mathematics

Differential Geometry

20 pages, 1 figure, for the proceedings of the XI International Conference on Geometry, Integrability and Quantization, Varna,

Scientific paper

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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