TORIC KAHLER METRICS: COHOMOGENEITY ONE EXAMPLES OF CONSTANT SCALAR CURVATURE IN ACTION-ANGLE COORDINATES

摘要

In these notes of the mini-course given by the author at the XI-th Conference on Geometry, Integrability and Quantization, Varna,Bulgaria, 2009 after the introduction of the 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.