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VOL. 11 | 2010 Toric Kähler Metrics: Cohomogeneity One Examples of Constant Scalar Curvature in Action-Angle Coordinates
Miguel Abreu

Editor(s) Ivaïlo M. Mladenov, Gaetano Vilasi, Akira Yoshioka

Abstract

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 Kähler geometry, we present Calabi’s family of U$(n)$-invariant extremal Kähler metrics in symplectic action-angle coordinates and show that it actually contains, as particular cases, many interesting cohomogeneity one examples of constant scalar curvature.

Information

Published: 1 January 2010
First available in Project Euclid: 13 July 2015

zbMATH: 1210.53068
MathSciNet: MR2757841

Digital Object Identifier: 10.7546/giq-11-2010-11-41

Rights: Copyright © 2010 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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